Find the angle made by a ladder of length 4m with the ground if its one end is 2m away from the wall and the other end is on the wall.

Question

Philoid · Accepted Answer

Let θ be the angle made by the ladder with the ground.

AB is the length of the ladder = 4m

AC is the distance between end of ladder and the wall = 2m

In ΔABC,

⇒ cos θ =

⇒ cos θ = = 1/2 = 0.5

From cosine table, we find 0.5 is corresponding to cos 60°.

⇒ cos θ = cos 60°

∴ θ = 60°

∴ The angle made by the ladder with the ground is 60°.