3

Set 4: Trigonometry (Intermediate)

Explanation

Answer: A

PROBLEM

Intriguingly, 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.

5

✓ Correct
B.

3

C.

6

D.

4

Detailed Explanation

[Variation 2] Choice A is the best answer. opposite = sin(A) times hypotenuse = 5/13 times 13 = 5

Why others are wrong:
B: 3 is incorrect because it does not satisfy the equation.
C: 6 is incorrect because it does not satisfy the equation.
D: 4 is incorrect because it does not satisfy the equation.