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## 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

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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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Mathematics
3 years
2021-09-04T20:12:48+00:00
2021-09-04T20:12:48+00:00 1 Answers
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## Answers ( )

Answer:26.6degreesStep-by-step explanation:Givenpercent 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