Question

A ladder 10 m long reaches a window 8 m above the ground. Find the distance of the foot of the ladder from base of the wall.

Answer 1

In ⊥∆ACB, ∠C = 90°, BC = ?

AC2 + CB2 = AB2

(8)2 + CB2 = (10)2

64 + CB2 = 100

CB2 = 100 – 64

CB2 = 36

∴ CB = 6

∴ Ladder is at a distance of 6m from the base of the wall.