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

Respuesta :

MrRoyal

The ladder and the outside wall form a right triangle

The length of the ladder is 97.8 feet

How to determine the length of the ladder?

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

Read more about right triangles at:

https://brainly.com/question/2437195

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