Question

A ladder 12 m long rests on a wall 8 m in height. Find the angle made by
the ladder with the ground.

Answer 1

Answer:

Let AC be the ladder and AB be the wall,

∴AC=20m

BC=10m, distance of the fact of the ladder from the wall.

Let

′

θ

′

be the angle between the horizontal surface and fact of the wall.

In △ACB,

⇒cosθ=

AC

BC

=

20

10

=

2

1

⇒cosθ=

2

1

⇒cosθ=cos60°

⇒θ=60°=

3

π

Hence, the answer is

3

π

.