Set 5: Trigonometry (Intermediate)

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

Explanation

Answer: D

PROBLEM

Researchers have observed that 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).

4/5

3/4

5/3

3/4

✓ Correct

Detailed Explanation

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

Why others are wrong:

A: 4/5 is incorrect because it does not satisfy the equation.

B: 3/4 is incorrect because it does not satisfy the equation.

C: 5/3 is incorrect because it does not satisfy the equation.