Geometry Trigonometry & Applications 2

Question 1

In a right triangle, the angle of elevation to the top of a tree from a point 30 ft away is 40°. Which expression gives the tree's height?

Accepted Answer

30 tan 40°

Answer

30 sin 40°

Answer

30 cos 40°

Answer

30 / tan 40°

Question 2

What is the exact value of sin 30°?

Accepted Answer

1/2

Answer

√3/2

Answer

√2/2

Answer

1

Question 3

A 10 ft ladder leans against a wall making a 60° angle with the ground. How high up the wall does it reach?

Accepted Answer

10 sin 60° ≈ 8.66 ft

Answer

10 cos 60° = 5 ft

Answer

10 tan 60° ≈ 17.3 ft

Answer

10 / sin 60° ≈ 11.5 ft

Question 4

If cos θ = 3/5 in a right triangle, what is sin θ?

Accepted Answer

4/5

Answer

3/4

Answer

5/3

Answer

5/4

Question 5

Which trigonometric ratio equals opposite/adjacent?

Accepted Answer

Tangent

Answer

Sine

Answer

Cosine

Answer

Secant

Question 6

The angle of depression from a 50 ft cliff to a boat is 25°. How far is the boat from the base of the cliff?

Accepted Answer

50 / tan 25° ≈ 107 ft

Answer

50 tan 25° ≈ 23 ft

Answer

50 sin 25° ≈ 21 ft

Answer

50 cos 25° ≈ 45 ft

Question 7

What is tan 45°?

Accepted Answer

1

Answer

0

Answer

√3

Answer

1/2