Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
The value of the angle θ required in the water main for the turn from north to east is 87.40°.
According to the statement
We have to find that the value of the angle.
So, For this purpose, we know that the
An angle is created when two straight lines or rays meet at a standard endpoint.
From the given information:
a main is to be constructed with a 20% grade within the north direction and a tenth grade within the east direction.
Then
Let n = North
and e = east
Then
using vectors,
n = j + 0.20 k
e = i + 0.25 k
And the
n · e = 1x0 + 0x1 + 0.20×0.25 = 0.05
Now take magnitude then
|n|·|e| = i(1² + 0.20²)·i(1²+0.25²) = 1.105
Now,
E° = arccos((n · e)/|n|·|e|)
E° = arccos(0.05/1.105)
E° = arccos (0.0452)
E° = 87.40°
So, The value of the angle θ required in the water main for the turn from north to east is 87.40°.
Learn more about angle here
https://brainly.com/question/24368895
#SPJ4
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.
