Word Problems
SOH
CAH
TOA
Random/Complementary Angles
100

A ladder is leaning against the building at an angle of 34 degrees. The length of the ladder is 13 meters. What is the distance from the base of the wall to the base of the ladder? 

What is 10.78 meters

100

What does SOH stand for?

What is sine is opposite over hypotenuse

100

What does CAH stand for?

What is cosine is adjacent over hypotenuse

100

What does TOA stand for?

What is Tangent is Opposite over Adjacent

100

What is the Pythagorean Theorem?

a+ b2 = c2

200

A cardinal is perched on top of a tree looking down on an apple. The angle from the apple to the cardinal is 41 degrees, and the apple is 22 feet away from the tree. What is the height of the tree? (TOA)

What is 19.12 feet

200

Hypotenuse=10 and the Opposite=6. What is the angle?

What is 36.87 degrees

200

Hypotenuse= 11 and the Adjacent= 4.4. What is the angle?

What is 66.42 degrees

200

Opposite= 8.4 and the Adjacent= 12. What is the angle?

What is 35 degrees

200

If Angle A and Angle B are complementary, that means that A and B add up to....

What is 90 degrees

300

There is a can sitting 14 feet away from a trashcan, the trashcan happens to be 3 feet tall. What is the angle from the top of the can to the top of the trashcan?

What is 12.09 degrees

300

Hypotenuse= 10 and the Angle= 53.1 degrees. What is the opposite side length?

What is 8 

300

Hypotenuse= 15 and the Angle= 42.8 degrees. What is the adjacent side length?

What is 11

300

Opposite= 15 and the Angle= 64.9 degrees. What is the adjacent side?

What is 7.03

300

Angle A is the complement of Angle B. Therefore we know that the SinA = ......

What is SinA = CosB or CosB
400

Molly is sitting on top of a building in Austin, she is looking down on her friend at an angle of 56 degrees. The distance from Molly to her friend is 24 feet. What is the distance from the base of the building to her friend?

What is 19.90 feet

400

Opposite= 15 and the Hypotenuse= 30. What is the angle?

What is 30 degrees

400

Hypotenuse= 400 and the Adjacent= 375. What is the angle?

What is 20.36 degrees

400

Opposite= 62 and the Adjacent= 35 What is the angle?

What is 60.55 degrees

400

What is the inverse of Tangent?

What is tan-1

500

Makenna is on an aircraft carrier and she just launched a plane into the air at an angle of 30 degrees. If the plane is 10,000 horizontal feet away from Makenna, how high up is the plane?

What is 5,773.50 feet

500

Hypotenuse= 15 and the Angle= 64 degrees. What is the opposite side length?

What is 13.48

500

Hypotenuse= 15 and the Angle= 64 degrees. What is the adjacent side length?

What is 6.58

500

Opposite= 12 and the Angle= 31 degrees What is the adjacent side?

What is 19.97

500

Given 0 < x < 90 and 0 < y < 90 

and given that Cosx = Siny

Create an expression for y in terms of x:

What is y = 90 - x