9

Set 4: Trigonometry (Intermediate)

Explanation

Answer: A

PROBLEM

Researchers have observed that 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.

3

✓ Correct
B.

4

C.

5

D.

2

Detailed Explanation

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

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