A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 45.88 feet 34.88 feet 22.47 feet 19.59 feet

Question

Dunce

Mathematics

13 August, 09:17

A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth. 45.88 feet 34.88 feet 22.47 feet 19.59 feet

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Answers (2)

Know the Answer?

Corbin Frost · Answer 1

34.88feet

Step-by-step explanation:

i took the test and got it right

Nolan · Answer 2

34.88feet

Step-by-step explanation:

The set up forms a right angle triangle with the length of the ladder being the hypotenuse and the angle of elevation is 29.32°. USing SOH, CAH TOA to determine the distance of the building from the base of the ladder.

The distance we are looking fir will be the adjacent. According to CAH.

cos29.32° = x/40

x = 40cos29.32°

x = 34.88feet (to the nearest hundredth)

The ladder is 34.88feet away from the building