Problema Solution

A 20 foot ladder leans against a building and makes an angle of 72 degrees with the ground. Find the distance between the foot of the ladder and the building.

Answer provided by our tutors

Let 'd' represent the distance between the foot of the ladder and the building, d>=0.

Notice the right triangle that the ladder, the ground and the building make and use trigonometry:

sin(72) = d/20

........

click here to see the equation solved for d

........

d = 19.02 ft

The distance between the foot of the ladder and the building is 19.02 feet.