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 f

Question

2 years ago

7

rom the side of the house. Find the
length of the ladder Round your answer to the nearest tenth.

1 answer:

choli [55] · Answer 1 · 2022-04-11T06:48:04+03:00

Answer:

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