BMST Trigonometry and Right Triangle Relationships

Question 1

In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?

Accepted Answer

3/5

Answer

4/5

Answer

3/4

Answer

5/3

Question 2

A ladder leans against a wall making a 60° angle with the ground. If the ladder is 10 meters long, how high up the wall does it reach?

Accepted Answer

8.66 m

Answer

5.0 m

Answer

10.0 m

Answer

7.07 m

Question 3

If cos(θ) = 0.5, what is the angle θ?

Accepted Answer

60°

Answer

30°

Answer

45°

Answer

90°

Question 4

In a right triangle with legs of length 5 and 12, what is the tangent of the angle opposite the side of length 5?

Accepted Answer

5/12

Answer

12/5

Answer

5/13

Answer

12/13

Question 5

A right triangle has an angle of 45°. If the hypotenuse is 10, what are the lengths of each leg?

Accepted Answer

7.07 each

Answer

5.0 each

Answer

8.66 and 5.0

Answer

6.0 and 8.0

Question 6

Which trigonometric ratio compares the adjacent side to the hypotenuse?

Accepted Answer

Cosine

Answer

Sine

Answer

Tangent

Answer

Secant