Question

In ATUV, the measure of ZV=90°, TU = 24 feet, and VT = 15 feet. Find the measureof U to the nearest degree.

Answer 1

The given triangle is a right angled triangle. Using trigonometric function we have,

`\sin x=\frac{\text{opposite side}}{hypotenuse}`

Here, opposite side is VT = 15 and hypotenuse is, TU = 24.

Substituting the values, we have,

`\begin{gathered} \sin x=(15)/(24) \\ x=\sin ^(-1)((15)/(24))=38.68=39 \end{gathered}`

Thus, x is approximately 39 degrees.