An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The

Question

3 years ago

5

ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

1 answer:

jeka57 [31] · Answer 1 · 2023-01-29T21:10:57+03:00

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

<h3>How to determine the length of the ladder?</h3>

The given parameters are:

Distance (B) = 22 feet

Angle of elevation (θ) = 77 degrees

The length (L) of the ladder is calculated using the following cosine ratio

cos(θ) = B/L

So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet