3

Set 5: Trigonometry (Intermediate)

Explanation

Answer: C

PROBLEM

Intriguingly, in a right triangle, sin(A) = 8/17 and the hypotenuse is 17. Find the opposite side.

In a right triangle, sin(A) = 8/17 and the hypotenuse is 17. Find the opposite side.

A.

6

B.

9

C.

8

✓ Correct
D.

10

Detailed Explanation

[Variation 2] Choice C is the best answer. opposite = sin(A) times hypotenuse = 8/17 times 17 = 8

Why others are wrong:
A: 6 is incorrect because it does not satisfy the equation.
B: 9 is incorrect because it does not satisfy the equation.
D: 10 is incorrect because it does not satisfy the equation.