Question

A ladder is placed along a wall such that its upper end is resting against a vertical wall. The foot of the ladder is 2.4 m from the wall and the ladder is making an angle of 68° with the ground. Find the height, upto which the ladder reaches.

Answer 1

Let the height upto which the ladder reaches be h m.

Given that angle of elevation is 68°

`tan 68^circ = h/2.4`

`=> 2.475 = h/2.4 `

∴ h = 2.475 × 2.4 = 5.94 m

So, the ladder reaches upto a height of 5.94 m