Question

The measure of side VT is 60 inches. Find the length of side VProunded to the nearest tenth.

Answer 1

It is important to notice that side VP is the hypothenuse of the triangle, and VT is the adjacent leg to 30°.

To find VP, we just have to use the cosine function

`\begin{gathered} \cos 30=(VT)/(VP) \\ \cos 30=(60)/(VP) \\ VP=(60)/(\cos 30) \\ VP\approx69.3 \end{gathered}`

Hence, VP is 69.3 inches long.