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(Trigonometry) A 25-foot ladder leans against a building. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
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Apr 20, 2018
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(Trigonometry) A 25-foot ladder leans against a building. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
Mathematics
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Good Doug
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Here, in this situation,
Hypotenuse = 25 feet
base = 13.5 feet
Now, Cos Ф = B / H
Cos Ф = 13.5 / 25
Cos Ф ≈ 1/2
Ф = Cos⁻¹(1/2)
Ф = 45 [ Cos 45 = 1/2 ]
In short, Your Answer would be approximately 45 degrees
Hope this helps!
Norman Skinner
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Apr 24, 2018
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Norman Skinner
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