The elevation angle is 36.86 degrees. Use the following steps to calculate this:
Find the distance l between the points (1,5) and (5,8) using Pythagoras: l = √((x₂-x₁)²+(y₂-y₁)²) = √((5-1)²+(8-5)²) = 5. This is our slant height.
Construct a right-angle triangle by keeping slant height as its hypotenuse.
Calculate height: h = (y₂-y₁) = 3.
Take arcsin of the ratio of height h = 3 and hypotenuse l = 5 to obtain the angle of elevation as 36.86 degrees.
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