Question

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.

Answer 1

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°.