How do you use Trigonometric Ratios to solve Real-world problems

Answers

Answer 1

9514 1404 393

Explanation:

Obviously, the way you use trig ratios will depend on the problem. The problems you see in algebra and trig courses are a good sampling of the kinds of problems you run across in the real world. Some of them include ...

  finding height or widths based on a measure and an angle (SOH CAH TOA)

  finding areas based on side lengths and an angle (area formula)

  finding unknown sides or angles of a triangle (law of sines/cosines)

  finding bearing and/or distance (spherical trig relations, law of cosines)

__

As with solving problems of any kind, you choose the appropriate formula(s), fill in the known values, and solve for the unknown values. Sometimes a real-world problem will require solution of intermediate problems before the answer to the original question is found.


Related Questions

Write an equation in slope-intercept form for the line between (2,7) and (6, 19)

Answers

Answer:

Step-by-step explanation:

(19 - 7)/(6 - 2) = 12/4= 3

y - 7 = 3(x - 2)

y - 7 = 3x - 6

y = 3x + 1

I NEED HELP RIGHT NOWWW

Answers

Answer:

No

Step-by-step explanation:

no because 8*3 is not equal to 18

if my answer helps please mark as brainliest.

Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ

Answers

Answer:

She typed for 60 minutes (1 hour).

Step-by-step explanation:

Do 2,700 divided by 45 to get your answer.

2,700 ÷ 45 = 60

She typed for 60 minutes (1 hour).

Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?


how would we find the original price if we know the sale price and the % of savings?​

Answers

Answer:1.5 i think i dont know the second question tho

Please help me to complete the impact on equity

Please answer

Answers

Answer:

Equity is same as equility it is for making students fools.

Step-by-step explanation:

Equity=Equality

Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2

Answers

The answer is a I just did it :)

Is this Imaginary x2 - x + 1 = 0

Answers

Answer:x= -1/2

Step-by-step explanation:

An account worth $6,000 is earning 7% simple interest annually. How
much is the loan worth after 20 years?

Answers

the correct answer is 8400

Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter

Answers

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

What is sine law?

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

Learn more about sine law, click;

https://brainly.com/question/17289163

#SPJ7

Bowler world charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 dollars for shoes and $1.50 per game

Answers

Answer:

6.10 for 1 and 4.50 . for 2

Step-by-step explanation:

9/5 -(-6/10) please helppppppppppppppp0pppppp

Answers

Answer:

[tex]\frac{12}{5}[/tex]

What times what equals -40 and add to make -3

Answers

Answer:

-8 and 5

Step-by-step explanation:

-8 × 5 = -40

-8 + 5 = -3

T
f
]
1.2073 PUQ.No. 14 बाबु र छोराको अहिलेको उमेरको योगफल
60 वर्ष छ। यदि दुबै जना जीवित रहेको समयमा अहिलेको
बाबुको उमेर बराबर छोराको उमेर हुँदा दुबै जनाको उमेरको
योगफल 120 वर्ष हुन्छ भने तिनीहरूको अहिलेको उमेर पत्ता
लगाउनुहोस् । (The sum of the present ages of a father
and his son is 60 years. If they both live until the son
becomes as old as the father is now, the sum of their
ages will be 120 years, then find their present ages.)

Answers

Answer:

Present age

Son: 15

Father: 45

Step-by-step explanation:

Remark

Thank you for the translation. Without it, the problem would be impossible -- at least for me.

Givens

Let the present age of the father = x

Let the present age of the son = y

Solution

x + y = 60

How many years will pass? You could say it's z.

x + z = y                          When z years pass, the son will be his father's present age.

x + z + y + z = 120          when z is added to both their current ages, the result is 120                   Collect like terms

       

x + y + 2z = 120            

x + y         = 60              Subtract The very first equation

2z = 60                          Divide by 2

z = 60/2                         30 years have passed.

z = 30

x + z = y

x + 30 = y                       Substitute x + 30 for the present y value (the father).

x + x + 30 = 60

2x = 30

x = 15

x + y = 60

15 + y = 60

y = 60 - 15

y = 45

So the son's age right now is 15

The father's age right now is 45

show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0

Answers

Answer:

[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]

Alex bought a football jersey that cost $95 and a football for $25. The local sales
tax is 8%. What was the total cost including tax?

Answers

Answer:

129.6$

Step-by-step explanation:

25+95=120

8% of 120 = 9.6

120+9.6= 129.6

Answer:

129.60

total w/o tax- 120

tax- 9.60.

Which of the following is NOT an inverse operation?


1.) Square Root and Squaring

2.) Addition and Multiplication

3.) Subtraction and Addition

4.) Multiplication and Division

Answers

2. Addition and multiplication

A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing

Answers

Answer:

a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) 0.0035 = 0.35% probability of passing.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

10 multiple choice questions

This means that [tex]n = 10[/tex]

4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.

This means that [tex]p = \frac{1}{4} = 0.25[/tex]

a) Probability of marking exactly 3 incorrect answers.

3 incorrectly = 7 correctly, so this is P(X = 7).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

0.0031 = 0.31% probability of marking exactly 3 incorrect answers.

b) Probability of passing

At least 7 correct, so

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]

[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]

[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]

[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]

[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]

0.0035 = 0.35% probability of passing.

A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won

Answers

Answer:

you would divide -> 51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Answer:Divide  51/68  and you would get .75. move the 2 first numbers after the dot to the front and you get 75%

Step-by-step explanation:

Find the Coordinates of the midpoint MN with endpoints M (-2, 6) and N (8,0)

Answers

Midpoint formula:

[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]

So,

(-2 + 8 / 2 , 6 + 0 / 2)

(6 / 2 , 6 / 2)

(3, 3)

Midpoint coordinate: (3, 3)

HELP PLEASE !!
Ivanna is riding on a bike course that is 15 miles long. So far, she has ridden 6 miles of the course. What percentage of the course has Ivanna ridden so far?

Answers

Answer:

50%

Step-by-step explanation:

Eli weighed 6 pounds, 5 ounces when he was born.
How many ounces did he weigh?
I’M TIMED PLZ HURRY

Answers

101 ounces
Please mark branliest

Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink

Answers

Answer:

The percent she has left in the drink is 75%

Step-by-step explanation:

1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.

points lol 3929292910100100102

NEED HELP WITH GEOMETRY

Answers

Answer:

1. 37

2. 50

3. 50

4. 40

Step-by-step explanation:

hope I helped!!

I am not positive on angle M< 4

M< 1 = 37

M< 2 = 50

M< 3 = 50

M< 4 = 40

I don’t understand this so can I get help

Answers

Answer:

Your image is cut off, can you provide a better one so I can try to answer it?

Step-by-step explanation:

PLEASE HELPPP with this problem THANK YOUU!!!

Answers

D, think reflection like a mirror

Find the value of x in the figure.

Answers

Answer:

x=100

Step-by-step explanation:

x+23+57=180

x+80=180

x=100

X=100 I should be correct

To multiply 4 x 5 3/8, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be ____ and the fraction would be ___ eighths. Each of these parts are then ___ ___. Pls tell me the answer pls!

Answers

Answer:

Step-by-step explanation:

To multiply 4×5⅜, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be 5 and the fraction would be three-eighths. Each of these parts are then multiplied by 4 and the products are added together.

4×5⅜ = 4×(5+⅜)

= 4×5 + 4×⅜

= 20 + 3/2

= 20 + 1½

= 21½

Divide.
25 ) 7253
A. 190 r3
B. 190
C. 193
O D. 290 r3


I’m really confused.

Answers

D


hope this helps :)

Answer:

d

Step-by-step explanation:

when using a calc. it comes out to 290.18, convert that to a remainder to get d; 290r3

please mark brainliest, need it for a new rank t y s m in advance

The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can still participate? Write and solve an inequality.

Answers


Solving by an inequality is : x ≤ 130

If you can help please do it’s urgent

Answers

-216 is the right answer!

Answer:

-108

Step-by-step explanation:

PEMDAS

Multiply 2 x -3 = -6

-6 to the 3 power (-6 x -6 x -6) is -108

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