A ladder of length 30 m is leaning against a wall making an angle of 30° with the horizontal. Find the distance between the foot of the ladder and the wall.

$15\sqrt{3}m$

We have,

The length of the ladder = 30

Angle = 30°

We know that,

If the angle is 30° then the base : perpendicular : hypotenuse = \(\sqrt {3}\) : 1 : 2

So we have length or hypotenuse of the ladder = 30

2 = 30

1 = 15

then \(\sqrt {3}\) = 15\(\sqrt {3}\)