Question

A ladder 6.5 m long rests against a vertical wall. If the foot of the ladder is 2.5m from the foot of the wall find upto how much height does the ladder reach​

Answer 1

The ladder reaches a height of 6 m.

Explanation:

Given that,

Height of the ladder, H = 6.5 m

The foot of the ladder is 2.5 m from the foot of the wall.

We need to find the height does the ladder reach. If we consider a triangle in which hypotenuse is 6.5 m, foot of the ladder is 2.5 m then we need to find the height of the ladder i.e.

`H^2=b^2+h^2\\\\h^2=H^2-b^2\\\\h^2=(6.5)^2-(2.5)^2\\\\h=6\ m`

The ladder reaches a height of 6 m.