A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the ground. If the angle of depression from the person on the building is 30°, how tall is the building?

Answers

Answer 1

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets

A Person On The Top Of A Tall Building Looks Through His Binoculars At His Friend That Is 300 Ft Away

Related Questions

Hoang spends $10 on movie tickets, $50 on rent, and $3 on snacks. How much money did Hoang spend on variable expenses?

Answers

Answer:

63

Step-by-step explanation:

50+10=60 60+3=63 dollars

he spends 63$ on variable expenses

Q: EXPRESS IT IN THE FORM OF LINEAR EQUATION IN ONE VARIABLE:

•The ordinate of a point is thrice its abscissa.​

Answers

Answer:

y = 3x

Step-by-step explanation:

abscissa is the x coordinate

ordinate is the y coordinate

y = 3x

Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year.
177; 204; 211; 211; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174;
185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270;
280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230;
250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265
Organize the data from smallest to largest value.

Part (a)
Find the median.
Part (b)
Find the first quartile. (Round your answer to one decimal place.)
Part (c)
Find the third quartile. (Round your answer to one decimal place.)
Part (d)
Construct a box plot of the data.

Answers

Answer:

im not sure but i do have a tip when you go to goo gle i want you to simplify your question (not what you asked on here) then copy your question as it is simple then search it on here because its slightly  for others to understand

Step-by-step explanation:

.

What is the value of x?
X + y = 10;
Z + z = 6;
Z + y = 5;
A) 9
B) 8
C) 7
D) 6
E) 1

Answers

Answer:

B

Step-by-step explanation:

z+z=6, z=3. z+y=5, y=2, x+y=10, x=8


What is the solution of the equation x2 -14x + 67 = 0?
A. X= 7+3in12
B.X = 7+31V-2
C.X= 7+ 2/8
D.X = 7+ 217

Answers

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

What is the solution of the equation x^2 - 14x + 67 = 0?

[tex]\tt{First \: option. \: x = 7 \underline{+}3i\sqrt{2}}[/tex]

[tex]\color{pink}{==========================}[/tex]

#CarryOnLearning

[tex]\sf\color{pink}{༄⁂✰Bae \: Yoonah}[/tex]

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Answers

Answer:

x=5

Step-by-step explanation:

im so bad at explaining things but i hope this helped

The number formed by adding 1 to the greatest 8 – digit number is?

Answers

Answer:

the answer would be 100,000,000

Greatest 8 Digit Number: 99,999,999

Adding 1 = 99999999+1

= 100,000,000

Must click thanks and mark brainliest

1. Carlos wants to deposit $900 into savings accounts at three different
banks: Bank of Chance, Merchant Bank, and Utopian Financing. He will
deposit two times as much into Merchant Bank as Bank of Chance
because they offer a higher interest rate. He also expects the Utopian
Financing deposit to be only 20% of the total of the other two deposits.
How much will Carlos deposit into the Utopian Financing savings account
(4 points)
O $180
$250
$500
$150

Answers

Answer:

$150

Step-by-step explanation:

0.2 X 750 = 150

hope this helps

solve similar triangles (advanced)
solve for x

Answers

Answer:

x = 27/8

Step-by-step explanation:

We can write a ratio to solve

x               3

------- = ----------

x+9           11

Using cross products

x*11 = 3(x+9)

11x = 3x+27

Subtract 3x from each side

8x = 27

8x/8 = 27/8

x = 27/8

Quy tắc suy luận nào là cơ sở của suy diễn sau: "Biết rằng: 2 đường thẳng d và d' song song hoặc cắt nhau. Ta đã có d không song song với d'. Vậy d cắt d'
Select one:
a. Luật loại trừ
b. Luật rút gọn
c. Luật phản chứng
d. Luật tách rời

Answers

Answer: a

Step-by-step explanation:

Let S be a set of linearly dependent vectors in Rn. Select the best statement. A. The set S could, but does not have to, span Rn. B. The set S spans Rn, as long as no vector in S is a scalar multiple of another vector in the set. C. The set S cannot span Rn. D. The set S must span Rn. E. The set S does not span Rn if some vector in S is a scalar multiple of another vector in the set. F. The set S spans Rn, as long as it does not include the zero vector. G. none of the above

Answers

Answer:

The set S could, but does not have to, span Rn   ( A )

Step-by-step explanation:

Assume S is a set of linearly dependent vectors in Rn

The best statement from the options is ; The set S could, but does not have to, span Rn

This is because S could span Rn ( as stated in option c ) but will  not necessary span Rn ( as seen in option D )

For an avid bird watcher, the probability of spotting a California Condor while birdwatching in the Grand Canyon area is 0.3. The probability of being able to take a clear picture of the bird suppose one is able to spot it is 0.8. What is the probability that the bird watcher is able to take a clear picture of a California Condor

Answers

Answer:

the probability of taking a clear picture of a California candor is .24

need help asap pls! :)

Answers

Answer:

6:21

Step-by-step explanation:

We want to find the ratio of squares to shapes

So simply count the squares

There are 6 squares

And then find the total number of shapes

There are a total of 21 shapes

So for every 6 squares there are 21 total shapes

In other words the ratio of squares to shapes is 6:21

Answer:

6:21

Step-by-step explanation:

Given,

Number of squares = 6

Total no. of shapes = 21

Therefore,

Unsimplified ratio of squares to total shapes

= 6:21 (Ans)

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for a.
2 in.
4 in.
O A = 33.12 square inches, P = 20.56 inches
O A 14.28 square inches, P20.56 inches
A = 33.12 square inches, P = 14.28 inches
O A 14.28 square inches, P = 14.28 inches

Answers

9514 1404 393

Answer:

  (d)  A = 14.28 in², P = 14.28 in

Step-by-step explanation:

The figure is wholly contained within a 4" square, which has an area of (4 in)² = 16 in², and a perimeter of 4(4 in) = 16 in. Since the figure is smaller in area and has a shorter perimeter (the top corners are rounded, not square), both answer values must be less than 16.

The only reasonable choice is the last choice: 14.28 in², 14.28 in.

__

If you want to figure this out in detail, you have the area of a rectangle that is 2 in by 4 in, and the area of a semicircle of radius 2 in. The total area is ...

  A = LW +1/2πr²

  A = (2 in)(4 in) + 1/2(3.14)(2 in)² = 8 in² +6.28 in²

  A = 14.28 in²

__

The perimeter is half that of a 4" square, plus half that of a 4" circle.

  P = 1/2(4(4 in) +π(4 in)) = (2 in)(4 +π) = 2(7.14) in

  P = 14.28 in

Find the equation of a line that is perpendicular to x+y=8 and passes through the point (8, 10).

Answers

Answer:

Y = -x + 2

Step-by-step explanation:

y = -x + 8

y = 1x + b

10 = 8 + b

b = 2

Answer:

y-y1=m(x-x1)

y-10=8(x-8)

y-10=8x-64

y-10+64-8x

y+54-8x

y-8x+54

72
60
48
36
Number of Computers
The graph shows a proportional relationship between
the number of computers produced at a factory per
day in three days, 36 computers are produced, 48
computers are produced in 4 days, and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the
graph.
Unit rate
computers per day
I
24
12
3 4 5 6 7 8 9 10 11 12
Number of Days
Intro
Done

Answers

Graph is attached below ;

Answer:

Unit rate = 12 computers per day

Step-by-step explanation:

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

That is ; the gradient ;

Slope = change in y / change in x

Slope = (y2 - y1) / (x2 - x1)

y2 = 60 ; y1 = 36 ; x2 = 5 ; x1 = 3

Slope = (60 - 36) / (5 - 3) = 24 / 2 = 12

Slope = 12

Unit rate = 12 computers per day

If a cube has an edge of length e, then the lateral surface area is:

Answers

Answer:

The total lateral surface of this cube is 4*e^2

Step-by-step explanation:

A cube is a figure with all the sides of the same length, so each face of a cube is a square.

Remember that the area of a square of sidelength L is:

A = L^2

Now, when we want to find the lateral surface of a figure, we ignore the bases of the figure.

So, if a cube has 6 faces, if we ignore the two bases, we are left with 4 square faces.

And if the edge length is e, then each one of these four faces has an area:

A = e^2

So the total lateral surface is 4 times that:

S = 4*e^2

The total lateral surface of this cube is 4*e^2

Answer:

4e2

Step-by-step explanation:

I got it correct on founders edtell

We are given a weighted coin (with one side heads, one side tails), and we want to estimate the unknown probability pp that it will land heads. We flip the coin 1000 times and it happens to land heads 406 times. Give answers in decimal form, rounded to four decimal places (or more). We estimate the chance this coin will land on heads to

Answers

Answer:

0.4060

Step-by-step explanation:

To calculate the sample proportion, phat, we take the ratio of the number of preferred outcome to the total number of trials ;

Phat = number of times coin lands on head (preferred outcome), x / total number of trials (total coin flips), n

x = 406

n = 1000

Phat = x / n = 406/ 1000 = 0.4060

The estimate of the chance that this coin will land on heads is 0.406

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

If a coin is flipped 1000 times, the total outcomes will 1000

If it landed on the head 406 times, the expected outcome will be 406.

Pr(the coin lands on the head) = 406/1000

Pr(the coin lands on the head) = 0.406

Hence the estimate of the chance that this coin will land on heads is 0.406

Learn more on probability here: https://brainly.com/question/14192140

Give the domain and range of G={(6.0),(-9,-3),(1,-3)}

Answers

Answer:

Step-by-step explanation:

D={ 6  , -9  , 1 }

R={  0  ,-3 }

8 thousand+7tens=6thiusand+. tens​

Answers

Answer:

207 tens

Step-by-step explanation:

If you mean

8,000 + 70 = 6000 + X tens

then it should be 207 tens

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%. The test statistic is a.1.44. b.1.25. c..95. d..80.

Answers

Answer:

a. 1.44

Step-by-step explanation:

We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.

At the null hypothesis, it is tested if the proportion is of at most 40%, that is:

[tex]H_0: p \leq 0.4[/tex]

At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that [tex]p = 0.4, \sigma = \sqrt{0.4*0.6}[/tex]

A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.

This means that:

[tex]n = 200, X = \frac{90}{200} = 0.45[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}[/tex]

[tex]z = 1.44[/tex]

Thus the correct answer is given by option a.

give an example of a piecewise function

Answers

Answer:

f(x) = 6 when -5 < x ≤ -1

Step-by-step explanation:

Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 10.13. To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits. SAMPLE NUMBER READINGS (IN OHMS) 1 1027 994 977 994 2 975 1013 999 1017 3 988 1016 974 997 4 998 1024 1006 1010 5 990 1012 990 1000 6 1016 998 1001 1030 7 1000 983 979 971 8 973 982 975 1030 9 992 1028 991 998 10 997 1026 972 1021 11 990 1021 1028 992 12 1021 998 996 970 13 1027 993 996 996 14 1022 981 1014 983 15 977 993 986 983 a. Calculate the mean and range for the above samples.

Answers

Answer:

See explanation

Step-by-step explanation:

Given

See attachment for proper presentation of question

Required

Mean and Range

To do this, we simply calculate the mean and the range of each row.

[tex]\bar x = \frac{\sum x}{n}[/tex] ---- mean

Where:

[tex]n = 4[/tex] ---- number of rows

[tex]R = Highest - Lowest[/tex] --- range

So, we have:

Sample 1

[tex]\bar x_1 = \frac{1027+ 994 +977 +994 }{4}[/tex]

[tex]\bar x_1 = 998[/tex]

[tex]R_1 = 1027- 994[/tex]

[tex]R_1 = 33[/tex]

Sample 2

[tex]\bar x_2 = \frac{975 +1013 +999 +1017}{4}[/tex]

[tex]\bar x_2 = 1001[/tex]

[tex]R_2 = 1017 - 975[/tex]

[tex]R_2 = 42[/tex]

Sample 3

[tex]\bar x_3 = \frac{988 +1016 +974 +997}{4}[/tex]

[tex]\bar x_3 = 993.75[/tex]

[tex]R_3 = 1016-974[/tex]

[tex]R_3 = 42[/tex]

Sample 4

[tex]\bar x_4 = \frac{998 +1024 +1006 +1010}{4}[/tex]

[tex]\bar x_4 = 1009.5[/tex]

[tex]R_4 = 1024 -998[/tex]

[tex]R_4 = 26[/tex]

Sample 5

[tex]\bar x_5 = \frac{990 +1012 +990 +1000}{4}[/tex]

[tex]\bar x_5 = 998[/tex]

[tex]R_5 = 1012 -990[/tex]

[tex]R_5 = 22[/tex]

Sample 6

[tex]\bar x_6= \frac{1016 + 998 +1001 +1030}{4}[/tex]

[tex]\bar x_6= 1011.25[/tex]

[tex]R_6= 1030-998[/tex]

[tex]R_6= 32[/tex]

Sample 7

[tex]\bar x_7 = \frac{1000 +983 +979 +971}{4}[/tex]

[tex]\bar x_7 = 983.25[/tex]

[tex]R_7 = 1000-971[/tex]

[tex]R_7 = 29[/tex]

Sample 8

[tex]\bar x_8 = \frac{973 +982 +975 +1030}{4}[/tex]

[tex]\bar x_8 = 990[/tex]

[tex]R_8 = 1030-973[/tex]

[tex]R_8 = 57[/tex]

Sample 9

[tex]\bar x_9 = \frac{992 +1028 +991 +998}{4}[/tex]

[tex]\bar x_9 = 1002.25[/tex]

[tex]R_9 = 1028 -991[/tex]

[tex]R_9 = 37[/tex]

Sample 10

[tex]\bar x_{10} = \frac{997 +1026 +972 +1021}{4}[/tex]

[tex]\bar x_{10} = 1004[/tex]

[tex]R_{10} = 1026 -972[/tex]

[tex]R_{10} = 54[/tex]

Sample 11

[tex]\bar x_{11} = \frac{990 +1021 +1028 +992}{4}[/tex]

[tex]\bar x_{11} = 1007.75[/tex]

[tex]R_{11} = 1028 -990[/tex]

[tex]R_{11} = 38[/tex]

Sample 12

[tex]\bar x_{12} = \frac{1021 +998 +996 +970}{4}[/tex]

[tex]\bar x_{12} = 996.25[/tex]

[tex]R_{12} = 1021 -970[/tex]

[tex]R_{12} = 51[/tex]

Sample 13

[tex]\bar x_{13} = \frac{1027 +993 +996 +996}{4}[/tex]

[tex]\bar x_{13} = 1003[/tex]

[tex]R_{13} =1027 -993[/tex]

[tex]R_{13} =34[/tex]

Sample 14

[tex]\bar x_{14} = \frac{1022 +981 +1014 +983}{4}[/tex]

[tex]\bar x_{14} = 1000[/tex]

[tex]R_{14} = 1022 -981[/tex]

[tex]R_{14} = 41[/tex]

Sample 15

[tex]\bar x_{15} = \frac{977 +993 +986 +983}{4}[/tex]

[tex]\bar x_{15} = 984.75[/tex]

[tex]R_{15} = 993-977[/tex]

[tex]R_{15} = 16[/tex]

Let θ be an angle in quadrant IV such that sinθ = -2/5 .
Find the exact values of secθ and tanθ.

Answers

If θ lies in the fourth quadrant, then sin(θ) < 0 and cos(θ) > 0. So we have from the Pythagorean identity,

sin²(θ) + cos²(θ) = 1   ==>   cos(θ) = +√(1 - sin²(θ)) = √21/5

Then

sec(θ) = 1/cos(θ) = 5/√21

and

tan(θ) = sin(θ)/cos(θ) = (-2/5)/(√21/5) = -2/√21


I need help completing this problem ASAP

Answers

Answer:

It is E. radicand

Step-by-step explanation:

Answer:

Radicand

Step-by-step explanation:

Radicand is the number found inside the radicals

Example:

[tex]\sqrt[4]{5} ; 2\sqrt[4]{5}[/tex]  are like terms

5 -> radicand and 4 is the index

A 500-kg concrete block 95 cm longcm wide and cm high. It can exert three different pressures on a horizontal surface depending on which faceit rests on the highest pressure is

Answers

Pressure is force per unit area. If the block is sitting at rest on the surface, it applies a pressure of mg/A, where mg is the block's weight and A is the area of the face that makes contact with the surface.

The smaller the value of A, the larger the pressure. So the highest pressure the block can exert is achieved when it's resting on the face with the smallest dimensions.

If the block is a cube with side length 95 cm, then the pressure exerted by each face is the same.

d(1)=2
d(n)=d(n−1)⋅(−2)^n

​What is the third term in the sequence?

Answers

Answer:

- 16

Step-by-step explanation:

The way this is given, you have to find the second term before you can fine the third.

a2 = d(n - 1) * (-2)^2

a2 = 2 * (-2)^2

a2 = 2 * 4

a2 = 8

a3 = d(3 - 1) * (-2)^3

a3 = 2 * (-2)^3

a3 = 2 * - 8

a3 = - 16

Bod and coa are _____ angles

Answers

Answer:

opposite angles

Step-by-step explanation:

They are formed in the intersection of lines AD and BD.

Answer:

opposite angles

Step-by-step explanation:

they are formed in the intersection of lines AD and BD. two figures are called similar if they have same shape however have different size.

In an experiment, the initial temperature of a solution is -5 °C. The solution is heated up at 3 °C per minute for 19 minutes and then it is cooled at 4 °C per minute for 6 minutes. Calculate the final temperature, in °C, of the solution.​

Answers

Answer:

28°C

Step-by-step explanation:

First you do 3*19=57°C

-5+57= 52°C

then you do 4*6=24 °C

as its being cooled you takeaway

52-24=28°C

A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
A. −3x + 5y = 13
B. −3x + y = −7
C. −3x + y = 17
D. −3x + 5y = −13
Which answer is an equation in point-slope form for the given point and slope?
Point: (1, 9); Slope: 5
A. y − 1 = 5 (x + 9)
B. y − 9 = 5 (x − 1)
C. y + 9 = 5 (x−1)
D. y − 9 = 5 (x+1)

Answers

Answer:

−3x + y = −7       y - 9 = 5 (x - 1)

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-1) / 4 - 2

6/2

= 3

slope intercept: −3x + y = −7

y - 9 = 5 (x - 1)

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