Question

A ladder of length $20m$ is resting against a wall $10m$ high such that the top of the ladder touches the top edge of the wall. Find the distance of the foot of the ladder from the foot of the wall?

• A. $\frac{10}{\sqrt{3}}m$
• B. $10m$
• C. $10\sqrt{3}m$
• D. $30m$

Answer 1

Answer: (C)

$10\sqrt{3}m$

Given

Length of Ladder $20m$

Height of wall $10m$

The Wall Floor and Ladder from a Right angled Triangle with Ladder as Hypotenuse.

$⟹{20}^2={10}^2+d^2$

$⟹400=100+d^2$

$⟹d^2=300$

$⟹d=10\sqrt{3}m$