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A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

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abidemiokin

Answer:

27.89feet

Step-by-step explanation:

Given the following

Length of the ladder = 32foot = hypotenuse

Angle of elevation = 29.37°

Required

Distance of the building from the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos 29.37° = d/32

d = 32cos29.37°

d = 32(0.8715)

d = 27.89 feet

Hence the required distance is 27.89feet

Answer:

27.89 feet

Step-by-step explanation:

Hope this helps :)

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