Question

A 10 m long ladder is placed against a wall in such a way that the foot ofthe ladder is6m away from the wall. Up to what height does the ladder reach the wall?

Answer 1

Height of the wall upto which the ladder touches can be derived using Pythagoras theorm.

Let height of Wall upto which Ladder touches = x

Then,

10² = x² + 6²

x² = 100 - 36

x² = 64

x = 8m

Therefore, the Ladder will touch the Wall at a height of 8m