Question

A ladder leans against the side of a house. The angle of elevation of the ladder is 68° when the bottom of the ladder is 16 it from the side of the house. Find the

length of the ladder Round your answer to the nearest tenth.

Answer 1

The length of the ladder = 6.5077 ft

Step-by-step explanation:

Given A ladder leans against the side of a house

Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house

Let 'C' be the point of observation.

Given CA= 16 ft

From right angle triangle

x = 16 × cos 68°

x = 16 × 0.4067

x = 6.5077

x = 6.5 ft

The length of the ladder = 6.5 ft