Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

In triangle ABC, right-angled at B, AB = 24 cm, BC = 7 cm. The value of tan C is:
Options
A 7/24
B 24/7
Correct Answer
C 7/25
D 24/25
Correct Answer

Option B is the correct answer.

Detailed Explanation

In a right triangle with right angle at B, AB and BC are the legs. tan C = opposite/adjacent relative to angle C. With respect to angle C, the opposite side is AB = 24 cm, and the adjacent side is BC = 7 cm. Therefore tan C = 24/7.

Hint

tan of an angle in a right triangle is opposite over adjacent.

Question Info