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A 43-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. 21.09 feet 24.20 feet 37.47 feet 49.34 feet

Sagot :

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Answer:

37.47 feets

Step-by-step explanation:

Using trigonometry:

The distance of wall from base of ladder is (x) :

Cosine θ = adjacent / hypotenus

Length of ladder = hypotenus ; x = adjacent

Cos 29.37 = x / 43

x = 43 * cos 29.37

x = 43 * 0.8714707

x = 37.473241

x = 37.47

View image Fichoh

Answer:

37.47 feet

Step-by-step explanation:

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