5

Set 4: Trigonometry (Intermediate)

Explanation

Answer: D

PROBLEM

Intriguingly, in a right triangle, the opposite side is 3, adjacent side is 4, and hypotenuse is 5. Find tan(angle).

In a right triangle, the opposite side is 3, adjacent side is 4, and hypotenuse is 5. Find tan(angle).

A.

5/3

B.

3/4

C.

4/5

D.

3/4

✓ Correct

Detailed Explanation

[Variation 2] Choice D is the best answer. tan = opposite/adjacent = 3/4

Why others are wrong:
A: 5/3 is incorrect because it does not satisfy the equation.
B: 3/4 is incorrect because it does not satisfy the equation.
C: 4/5 is incorrect because it does not satisfy the equation.