See the explanation
<h2>
Explanation:</h2><h2 />
I have corrected your diagram so ∅ is the angle at the top of the diagram. In order to solve this problem we have to use Pythagorean theorem and the law of sines. Moreover, I have named two sides as w and z so those variables will help us to solve this problem. So:
The triangle at the bottom is right, so by Pythagorean theorem is true that:

By law of sines:

By law of sines again:

<h2>Learn more:</h2>
Classification of triangles: brainly.com/question/10379190
#LearnWithBrainly
When looking at a rectangular prism, we know that Volume = length * width * height
If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.
280 = 8 * 7 * height
280 = 56 * height
Because we are solving for the height, we divide both sides by 56
280/56 = height
height = 5 meters
The 'i' should go in front of the square root, not inside it.
So the answer should be 
--------------
The way they wrote the expression
is bit misleading as it might imply that the 'i' is under the square root. However the square root ends after the "5". It might be better to say
so there is clearer separation. But sticking the "i" in front is also a valid option.
side note: the plus minus part is already handled so there's no need to worry about that.