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

Answer:

The angle required in the water is 32°.

Explanation:

Given that,

Grade in the north = 12.5 %

Grade in the east = 20 %

We need to calculate the angle

We know that,

$tan\theta=\dfrac{North}{East}$

$tan\theta=\dfrac{12.5}{20}$

$tan\theta=0.625$

$\theta=tan^{-1}0.625$

$\theta=32^{\circ}$

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