Question

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

Explanation:

Step1: Use cosine function

In right - triangle \(VTU\), \(\cos V=\frac{VT}{UV}\).

Step2: Substitute known values

Given \(V = 58^{\circ}\), \(VT = 5\). So \(\cos58^{\circ}=\frac{5}{UV}\).

Step3: Solve for \(UV\)

\(UV=\frac{5}{\cos58^{\circ}}\). Since \(\cos58^{\circ}\approx0.5299\), then \(UV=\frac{5}{0.5299}\approx9.4\).

Answer:

$9.4$