SSC CPO 2019 PYQ — Question 102

SSC CPO Tier I - 13th December 2019 - Shift 1 • Quantitative Aptitude • Q102

A ladder leaning against a window of a house makes an angle of 60º with the ground. If the distance of the foot of the ladder from the wall is 4.2 m, then the  of the point, where the ladder touches the window from the ground is closest to:

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e. 7.3 m

As per the given question, 

The ladder is making 60º with the ground and the foot of the ladder is x = 4.2 m from the wall.

Height of the wall till window = h

as tanϴ = h/x

⇒ tan 60º = h/4.2

⇒ h = 4.2 × (3)½ = 7.3