In triangle STU
[tex]\begin{gathered} m\angle U=90 \\ m\angle S=25 \end{gathered}[/tex]And also the length of US is 15 feet
Since the right angle is U, then the hypotenuse is ST
Since SU is adjacent to < S, then we can use the cosine ratio
[tex]\cos S=\frac{adj}{hyp}[/tex]Adjacent is SU = 15
m< S = 25 degrees