4

Set 4: Trigonometry (Beginner)

Explanation

Answer: D

PROBLEM

Recent studies show that in a right triangle, the opposite side is 5, adjacent side is 12, and hypotenuse is 13. Find sin(angle).

In a right triangle, the opposite side is 5, adjacent side is 12, and hypotenuse is 13. Find sin(angle).

A.

5/12

B.

13/5

C.

12/13

D.

5/13

✓ Correct

Detailed Explanation

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

Why others are wrong:
A: 5/12 is incorrect because it does not satisfy the equation.
B: 13/5 is incorrect because it does not satisfy the equation.
C: 12/13 is incorrect because it does not satisfy the equation.