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10 May, 10:39

1.) An architect is designing a house with steps to

the front door. For safety, the steps should not:

be steeper than 50 degrees. The entrance to the ...

house is 4 feet off of the ground How far out

from the house do the steps need to start?

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Answers (1)
  1. 10 May, 12:25
    0
    About 3.36 feet or about 40.3 inches

    Step-by-step explanation:

    The tangent ratio tells you ...

    Tan = Opposite/Adjacent

    In this geometry, we want ...

    tan (50°) = (4 ft) / (distance)

    Solving for distance gives ...

    distance = (4 ft) / tan (50°) ≈ 3.3564 ft ≈ 40.28 in

    The steps need to start about 3.36 feet, or about 40.3 inches, out from the house.
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