3
Answer: ASet 4: Trigonometry (Intermediate)
Explanation
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.✓ Correct
5
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.