Nice question! This can be answer through some basic trigonometry knowledge.
Please see the attachment!
Answer:
11.43 degrees.
Step-by-step explanation:
See the attachment given for clarification.
So we know the building is 200 feet high.
And the shadow on the ground which is perpendicular to the building is 40 feet long.
So by using trig to find the other leg of the triangle, we can say that:
tan(θ) = 200/40
tan(θ) = 5
To find the input of a function (in this case, θ), we must do the inverse function.
cot(5) = θ
θ = 11.43 degrees.
Thus, we get our angle of elevation.
