Question

A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the building. What is the measure of the angle formed by the building?

Answer 1

74.05 degree

Explanation:

A ladder leans against a building. The foot of the ladder is 2 feet from the building and reaches to a point 7 feet high on the building.

The ladder forms a right angle triangle with the building

Base of the triangle is 2 feet

The distance between the ground and the top of the ladder is 7 feet

the graph is attached below

AB= 2, AC = 7

We know the opposite and the adjacent side so we use tan formula

`Tan (x) = (opposite)/(adjacent) =(AC)/(AB) = (7)/(2)`

x = tan^-1 (7/2)

x = 74.05 degree