Trig Ratios
Trig Functions
Angle of Elevation and Depression
Random
100

What does SOH-CAH-TOA stand for?

Sin , Opposite , Hypotenuse

Cosine , Adjacent , Hypotenuse

Tangent , Opposite , Adjacent 

100

Write the equation to solve for x. DO NOT SOLVE.

sin(35)=12/x

100

Determine the height of the Eiffle Tower if you are 600m and you can see the top at an angle of 28. Round to the nearest tenth.

x=319.0

100

Simplify the following ratios. Write your answers in the same format it is given to you.

1.)  56:86

2.). 13 to 52

3.) 19/27

1.)  28:43

2.)  1 to 4

3.) 19/27

200

What is the trig ratio of sin(t)? Simplify your ratio!

33/65

200

Solve for x. Round to the nearest whole number.

x=8

200

Jane is flying a kite that is 10m high at the beach. The angle of elevation is 65 degrees. How long is the kite's string? Round to the nearest tenth.

x = 11.0

200

Solve for the missing side length XY and AC. 


XY = 12

AC = 5

300

What is the trig ratio of cos(t) and tan(t)? Simplify your ratio!

cos(t) = 

56/65

tan(t) = 

33/56

300

Solve for x. Round to the nearest whole numbers. 

x=66

300

DO NOT SOLVE. Draw a picture of the problem below. Be sure to include your right triangle and label side lengths, angles and x. 

An airplane is descending at a 32 degree angle to land at the airport. The plane is at an altitude of 4,352 feet in the air. How far is the airplane from the airport?

Drawing varies.


300

Explain why you cannot find the trig ratios of Sin (O), Cos (O) and Tan (O)?



 Sin (O) = There is no opposite side

Cos (O) = There are two adjacent sides

Tan (O) = There is no opposite side and there are two adjacent sides

400

What is the trig ratio of sin(F), cos(F) and tan(F)? Simplify your ratios!

sin(F)=

24/25

cos(F)=

7/25

tan(F)=

24/7

400

Find side CD. Round to the nearest tenth. 

CD= 18.9

400

The angle of depression of an object is 14 degrees from the top of the tallest building in the world, one of the Petronas towers in Malaysia, which is 1,483 feet high. What is the distance from the object to the base of the tower to the nearest foot?

x= 5,948 feet

400

Write a word problem that can apply to the image below. Be sure to include proper vocabulary (angle of elevation, angle of depression) AND write in complete sentences.


Answers will vary.

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