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s344n2d4d5 [400]
3 years ago
9

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 a

ngle theta required in the water main for the turn from north to east
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

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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