SSC CGL 2025 PYQ — Question 67

SSC CGL - 19 Sep 2025 - Shift 3 • Quantitative Aptitude • Q67

A ladder reaches a window 8 meters high on a vertical wall. If the ladder is positioned at a 45° angle to the ground, what is its length? (nearest to a whole number)

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 11 m.

Ladder length = AC

sin 45° = AB/AC

⇒ 1/√2 = 8/AC

⇒ L = 8√2 = 11.31.. ≈ 11 m