for the right triangle below, find the measures of the angle.

Given the right-angled traingle as shown in the question
Let the unknown angle be x
[tex]\cos x=\frac{13}{16}[/tex][tex]\begin{gathered} \cos x=0.8125 \\ x=\cos ^{-1}(0.8125) \\ x=35.66^0 \end{gathered}[/tex]Hence, the measured angle is 35.66°