9

Set 3: Trigonometry (Intermediate)

Explanation

Answer: D

PROBLEM

Intriguingly, in a right triangle, sin(A) = 3/5 and the hypotenuse is 5. Find the opposite side.

In a right triangle, sin(A) = 3/5 and the hypotenuse is 5. Find the opposite side.

A.

5

B.

2

C.

4

D.

3

✓ Correct

Detailed Explanation

[Variation 2] Choice D is the best answer. opposite = sin(A) times hypotenuse = 3/5 times 5 = 3

Why others are wrong:
A: 5 is incorrect because it does not satisfy the equation.
B: 2 is incorrect because it does not satisfy the equation.
C: 4 is incorrect because it does not satisfy the equation.