Let the required angle = x
As shown in the figure :
There is a right triangle , the hypotenuse of the triangle = 90 feet
The adjacent side to the angle x = 45 feet
So, we can use the cosine function to find the angle
[tex]\begin{gathered} \cos x=\frac{adjacent}{hypotenuse} \\ \\ \cos x=\frac{45}{90}=\frac{1}{2}=0.5 \\ \\ x=\cos ^{-1}0.5=60 \end{gathered}[/tex]
So, the answer is : the measure of the angle = 60
