Problema Solution

a ladder leans against a building. The top of the ladder reaches a point on the building which is 18 feet above the ground.The foot of the ladder is 7 feet from the building. Find the measure of the angle which the ladder makes with the level ground.

Answer provided by our tutors

make a good drawing and notice the right triangle with legs: 18 ft and 7 ft


let 'a' denote the angle which the ladder makes with the level ground


tan(a) = 18/7


a = arctan (18/7)


a = 68.75 degrees


the angle which the ladder makes with the level ground is 68.75 degrees.