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Harry is building a house with a sloping roof. If the roof is 44 feet long and 10 feet high, what is the angle that the roof makes with the horizontal?

Harry is building a house with a sloping roof. If the roof is 44 feet long and 10 feet-example-1
User Uta
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1 Answer

5 votes

Answer:

13.1

Explanation:


we know that sin theta = opposite/hypotenuse

theta being the angle the roof makes with the horizontal

sin theta = 10 /44

take the arcsin of each side

arcsin (sin theta) = arcsin(10/44)

theta = arcsin(10/44)

theta = 13.13



User Jay Regal
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