8
Answer: DSet 3: Trigonometry (Intermediate)
Explanation
PROBLEM
Recent studies show that 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.
7
B.
3
C.
4
D.✓ Correct
5
Detailed Explanation
[Variation 1] Choice D is the best answer. opposite = sin(A) times hypotenuse = 5/13 times 13 = 5
Why others are wrong:
A: 7 is incorrect because it does not satisfy the equation.
B: 3 is incorrect because it does not satisfy the equation.
C: 4 is incorrect because it does not satisfy the equation.