SSC CHSL 2025 PYQ — Question 59

SSC CHSL - 27 Nov 2025 - Shift 2 • Quantitative Aptitude • Q59

If tan θ = 12/5, find sin θ.

Show answer & explanation

Correct answer: B

Explanation

Given:

tanθ = 12/5

By the formula:

tanθ = perpendicular / base

Let

perpendicular = 12

base = 5

hypotenuse = √(12 × 12 + 5 × 5)

= √(144 + 25)

= √169

= 13

sinθ = perpendicular / hypotenuse = 12 / 13