a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta r

Question

a water main is to be constructed with a 10% grade in the north direction and a 20% grade in the east direction. determine the angle theta required in the water main for the turn from north to east

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Thiên Thanh 3 years 2021-09-04T20:12:48+00:00 1 Answers 3 views 0

Answers ( )

  1. mocmien2
    0
    2021-09-04T20:14:35+00:00
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    Answer:

    26.6degrees

    Step-by-step explanation:

    Given

    percent grade through north = 10% (opposite)

    percent grade through east = 20% (adjacent)

    Get the direction

    Using the SOH CAH TOA identity

    tan theta = opp/adj

    tan theta = 10/20

    tan theta = 0.5

    theta = arctan (0.5)

    theta = 26.6degrees

    Hence the required angle is 26.6degrees

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