Question

A ladder is leaning up against a wall with the base of the ladder only 44 feet from the wall. The ladder itself is 1414 feet long. How large is the angle formed with the ground as the ladder leans against the wall? Round your answer to the nearest tenth.

Answer 1

73.4°

Explanation:

Given that :

Base of ladder from wall = 4 feets

Length of ladder = 14 feets

Angle formed with the ground :

Using Pythagoras :

Cosine θ = adjacent / hypotenus

Adjacent = 4 feets

Hypotenus = 14 feets

Cosθ = 4 / 14

Cosθ = 0.2857142

θ = cos^-1(0.2857142) = 73.398450

= 73.4°