Question

The angels of elevation of a ladder against a wall is 60 degree and the foot of the ladder is 4.6 m away from the wall.The length of the ladder is

Answer 1

The length of the ladder is 9.2 meters

Explanation:

Given as :

The angels of elevation of a ladder against a wall = 60°

The Distance of the foot of the ladder fro the wall = d = 4.6 meters

Let The length of the ladder = h meters

Now, According to question

cos angle =
`(\textrm base)/(\textrm hypotenuse)`

Or, cos 60° =
`(\textrm d)/(\textrm h)`

Or, 0.5 =
`(\textrm 4.6)/(\textrm h)`

∴ h =
`(\textrm 4.6)/(\textrm 0.5)`

i.e h = 9.2

So,The length of the ladder = h = 9.2 meters

Hence The length of the ladder is 9.2 meters Answer