Free ACT Math: Trigonometry Questions and Answers 2

Question 1

In a right triangle, the opposite side is 7 and the hypotenuse is 25. What is tan θ?

Accepted Answer

7/24

Answer

7/25

Answer

24/25

Answer

25/7

Question 2

What is the exact value of cos(60°)?

Accepted Answer

1/2

Answer

√3/2

Answer

√2/2

Answer

√3/3

Question 3

An angle measures 5π/6 radians. What is this in degrees?

Accepted Answer

150°

Answer

120°

Answer

300°

Answer

210°

Question 4

If cos θ = −√3/2 and 180° < θ < 270°, what is θ?

Accepted Answer

210°

Answer

150°

Answer

240°

Answer

120°

Question 5

Which identity is correct?

Accepted Answer

sin²θ + cos²θ = 1

Answer

sin²θ − cos²θ = 1

Answer

sin θ × cos θ = 1

Answer

tan²θ + 1 = sin²θ

Question 6

A ladder 13 feet long leans against a wall, making a 67.4° angle with the ground. How high up the wall does the ladder reach? (Use sin 67.4° ≈ 0.923)

Accepted Answer

Approximately 12 feet

Answer

Approximately 5 feet

Answer

Approximately 10 feet

Answer

Approximately 13 feet