8

Set 3: Trigonometry (Intermediate)

Explanation

Answer: D

PROBLEM

Recent studies show that in a right triangle, sin(A) = 5/13 and the hypotenuse is 13. Find the opposite side.

In a right triangle, sin(A) = 5/13 and the hypotenuse is 13. Find the opposite side.

A.

7

B.

3

C.

4

D.

5

✓ Correct

Detailed Explanation

[Variation 1] Choice D is the best answer. opposite = sin(A) times hypotenuse = 5/13 times 13 = 5

Why others are wrong:
A: 7 is incorrect because it does not satisfy the equation.
B: 3 is incorrect because it does not satisfy the equation.
C: 4 is incorrect because it does not satisfy the equation.