Mathematics High School

5. A mountain has a base and peak that are inaccessible. At point A, the angle of elevation of the peak is
30°. One kilometer closer to the mountain, at point C, the angle of elevation of 35º. Find the height
PB of the mountain.

Answers

Answer 1

Answer:

1.366km

Step-by-step explanation:

Answer 2

The height of the mountain is [tex]3.34Km[/tex]

Right angle triangle:

A diagram of right angle triangle PBA is attached below which describe the situation as given in the question.

Let us consider that H represent the height of mountain.

Angle of elevation at point A and C shown in the diagram.

Apply tan function in triangle CBP.

            [tex]tan(35)=\frac{H}{x} \\\\H=xtan(35)=0.7x.........(1)[/tex]

Apply tan function in triangle ABP.

           [tex]tan(30)=\frac{H}{x+1}\\ \\(x+1)tan(30)=H\\\\(x+1)=\sqrt{3}H\\ \\x=\sqrt{3}H-1........(2)[/tex]

Substituting the value of equation 2 into equation 1.

      [tex]H=0.7(\sqrt{3}H-1)\\\\H=1.21H-0.7\\\\0.21H=0.7\\\\H=0.7/0.21=3.34Km[/tex]

Hence, The height of the mountain is [tex]3.34Km[/tex]

Learn more about the right angle triangle here:

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5. A Mountain Has A Base And Peak That Are Inaccessible. At Point A, The Angle Of Elevation Of The Peak

Related Questions

1. 1/6+1/3=? Your answer​

Answers

1/2is my answerrrrrrrr

Answer:

1/2

Step-by-step explanation:

4. The state of Neveda has 70 million arces of land. If 90%
of the acres of land is fedecally owned, How many arces of
land are not federally owed?

Answers

this is the correct answer

7 million acres of land would be not federally owned, because 10% of 70 million is 7 million

Justin is 2 years older than 1/4 his brothers age.

Brothers age = 12

Justin's age =_

Answers

Answer:

Justin is 5 yrs old

Step-by-step explanation:

make an equation out of it. Let x be Justin's age

1/4(12)+2=x

simplify

3+2=x

x=5

Justin's age is 5 years.

What is linear equation in one variable?

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

According to the given question

Justin is 2 years older than 1/4 of his brother's age.

Let the age of Justin be x years.

Also, Justin's brother age is 12 years.

Therefore,

The age pf Justin is given by

[tex]x = 2 + \frac{1}{4}(12)[/tex]

solve the above linear equation

⇒ x = 2 + 3

⇒ x = 5 years

Hence, Justin's age is 5 years.

Learn more about linear equation here:

https://brainly.com/question/17139602

#SPJ2

Select all the statements that describe the expression 5 + 2x

A.The expression represents 5 plus 2 plus x.

B.The expression represents 5 plus 2 times x.

C.The expression represents 5 plus x plus 2

D.The expression represents the product of 2 and X plus 5.

E.The expression represents the sum of 5 and 2x.

F.The expression represents the product of 5 and 2x.

Answers

I think that the answer could be B and the other one could be E

What is 2+2? PLS HELPPPPPP

Answers

i think it 70 or 4
ion really know

evaluate each expression when x=3 (iready)

Answers

Answer:

3

Step-by-step explanation:

x^5 = ?^5

x = 3

We plug in x = 3:

3^5 = ?^5

We find the fifth root of both sides and get:

3 = ?

That means that 3 is the answer

Answer:

3

Step-by-step explanation:

To evaluate the expression you would add in the x so in BLANK^3

you would plug in the x which is 3.

For the figure below, find the measure of angle 1.

Answers

Angle 1 is 119° using linear pairs and an.gle sum property of triangle:

FIRST ONE TO ANSWER GETS BRAINIEST: Lauren's fruit salad recipe calls for 15 cups of apples for every 3 cups of grapes. How many cups of grapes are used for each cup of apples? Help me please!

Answers

Answer:

1/5 cup of grapes for each cup of apples

Step-by-step explanation:

Divide: 3 divided by 15=0.2

0.2 as a fraction is 2/10

2/10 simplified=1/5

(I was gonna put picture of my work, but I'm too lazy, lol)

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Which scenarios can be solved using 1.5x + 2.25 = 12.75? Select all that apply and note the given solutions

Answers

Answer:

You go to Target. You buy a box of mints for $2.25. You also want to buy some packs of Goldfish for snacks. They each cost $1.50. You have $12.75 to spend. How many packs of Goldfish can you buy along with the box of mints?

Which equation can be used to solve x + 3 = 15?

Answers

Answer:

12

Step-by-step explanation:

12+3=15

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.

Find the missing part.
x= ?

Answers

Answer:

X = 2√41

Step-by-step explanation:

Uaing the pothagorean therom, (a squared plus b squared equals c squared) find the square of both 8 and 10 which are

8 squared - 64

10 squared - 100

Add them together to get

164

√164 = x

You can reduce that to 2√41

FIRST ANSWER GETS BRAINLIEST PLEASE HELP THIS TEST IS WORTH 50 PERCENT OF MY GRADE

Answers

Answer:

Step-by-step explanation: the BESt is B BECAUSE SHE ASK FOR 8 PRINTING FOR $234 AT AN ESTATE SALE THE SMALLER PAINTING WERE $25 EACH WHILE THE LAGER PAINTING WERE $40

Is the system of equations independent inconsistent or dependent?

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.What are the 3 types of system of equations?

There are three types of systems of linear equations in two variables, and three types of solutions.

An independent system has exactly one solution pair. The point where the two lines intersect is the only solution.

An inconsistent system has no solution. ...

A dependent system has infinitely many solutions.

escribe en cada fila dos divisiones que den el cociente o resultado que se te indica en la primera columna matemáticas con foto​

Answers

Answer:

I don't know  what you said

Step-by-step explanation:

But thanks for the points.

PLEASE HELP the rise of the ramp is 8 ft tall and the run of the ramp is 16 ft long what is the slope of the ramp ​

Answers

Answer:

1/2 because it is...........

Plz help due tomorrow

Answers

Grapes is 6.57 bananas are 1.77 pears are 4.47 and altogether they are 12.81

What point must a proportional equation pass through?

Answers

Answer:

A graph of a proportional relationship must pass through (0, 0).

Step-by-step explanation:

Each point (or pair) in a proportional relationship must share the same difference. 2

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.

A 2-column table with 4 rows. The first column has no label with entries Step 1, Step 2, Step 3, Step 4. The second column is labeled x squared + 4 x minus 12 with entries x squared + 6 x minus 2 x minus 12, (x squared + 6 x ) minus (2 x + 12), x(x + 6) minus 2(x + 6), (x + 6)(x + 2).

In which step did Mia make an error?
Step 1
Step 2
Step 3
Step 4

Answers

Mia's error is in step 4

What is factorization?

Factorization involves splitting a function into several factors

The steps in factorizing the expressions are:

Step 1: x^2 + 6x - 2x  -12

Step 2: (x^2 + 6x) - (2x + 12)

Step 3: x(x + 6) - 2(x + 6)

Step 4: (x + 6)(x + 2)

From the step 3 to step 4, the resulting expression should be

(x + 6)(x - 2)

However, the step 4 of the expression is (x + 6)(x + 2)

The expected expression and the actual expression in step 4 are different.

Hence, Mia's error is in step 4

Read more about factorization at:

https://brainly.com/question/11579257

PLEASE HELP IM HOPELESS
What is the location of point C?



(-4, -5)
(-5, -4)
(-5, 4)
(4, -5)

Answers

Answer:

(-4,-5)

Step-by-step explanation:

(x-coordinate, y-coordinate)

-4 is C's x-coord and -5 is C's y-coordinate

Answer:

thx

Step-by-step explanation:

5. What additional information would allow you to conclude
that WXYZ is a parallelogram?
A. XY ZW
C. WY ZW
B. XW ZY
D. ZXWY ZZYW
LOL HEY PLS HELP

Answers

Answer:

option c is the correct answer I am guessing

what’s the answer someone help please

Answers

It is 24y because 6 and 4 is equal to 24 and then we just add the y that is left, if u don’t believe me search it up but I am pretty sure I’m right

Answer:

24y

Step-by-step explanation:

Graph g(x) = - 2 + 3) - 2​

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

7
7 6/7 - 3 1/10 =
0/1

Answers

Answer:

Step-by-step explanation:

0 = 0 < 3 1/

10

< 7 < 7 6/

7

0 is equal to 0 is less than 3 1/

10

is less than 7 is less than 7 6/

7

0/

70

= 0/

70

< 217/

70

< 490/

70

< 550/

70

The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.

The stadium usher had 100 seats in his section, he roped off nine seats for other stadium workers and then divided the rest equally for seven student groups. How many seats does each student group receive? This is for my little brother.

Answers

Answer:

Each student group received 13 seats.

Step-by-step explanation:

100 - 9 = 91

91 ÷ 7 = 13

please answer, and i will mark you as BRAINLIEST
John's grades go up as he puts in more hours of study time. Which variable is the independent variable in this problem? *

A. His grades
B. The hours he studies

Answers

Answer:

i think its b

Step-by-step explanation:

i think its b because his grades are the variable that keeps changing

What is the scale factor of the dilation between ΔABC and ΔA'B'C'?

Answers

Multiply the 2 scale factors together:

1/3 x 3/2 = 3/6 = 1/2

The answer is B. 1/2

I need Help!! I need 6-8!

Answers

Answer:

Your answer

6....... 13.8

7........ 7.64

8.......... 13.7

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

a) simplify 4 x 5p

b) simplify 9y-6y + y

Answers

Answer:

20p & 4y

Step-by-step explanation:

combine like terms yk

A would be 20p and b is 4y

Find the length of the missing side. Leave your answer in the simplest radical form.

Answers

Answer:

x = 10

Step-by-step explanation:

13² = x² + 10²

196 = x² + 100

96 = x²

√96 = x

x = 9.8

x = 10

help me I'm stuck on this assignment problem ​

Answers

Answer:

pi^4

Step-by-step explanation:

In a problem like this you subtract exponents

11 - 7 = 4

pi^4

express as a fraction in simplest form 4 to 36

Answers

Answer:

Step-by-step explanation:

4/36/2/2

2/18/2/2

1/9

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