asked 56.7k views
4 votes
A water main is to be constructed with a 12.512.5​% grade in the north direction and a 2020​% grade in the east direction. Determine the angle thetaθ required in the water main for the turn from north to east.

asked
User Helix
by
8.8k points

1 Answer

2 votes

Answer:

The angle required in the water is 32°.

Step-by-step explanation:

Given that,

Grade in the north = 12.5 %

Grade in the east = 20 %

We need to calculate the angle

We know that,


tan\theta=(North)/(East)


tan\theta=(12.5)/(20)


tan\theta=0.625


\theta=tan^(-1)0.625


\theta=32^(\circ)

Hence, The angle required in the water is 32°.

answered
User Pazulx
by
8.8k points
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