Question

find su.
write your answer as an integer or as a decimal rounded to the nearest tenth.
su =

Explanation:

Step1: Use cosine function

In right - triangle \(STU\), \(\cos S=\frac{ST}{SU}\). Given \(S = 32^{\circ}\) and \(ST = 8\).

Step2: Solve for \(SU\)

We know that \(\cos32^{\circ}=\frac{8}{SU}\), then \(SU=\frac{8}{\cos32^{\circ}}\).
Since \(\cos32^{\circ}\approx0.848\), \(SU=\frac{8}{0.848}\approx9.4\).

Answer:

\(9.4\)