Question

find the missing angle. round answer to the nearest degree. 12.5 15

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to angle \(x\) is \(12.5\) and the hypotenuse is \(15\). So, \(\sin x=\frac{12.5}{15}\).

Step2: Calculate the value of \(x\)

First, \(\frac{12.5}{15}=\frac{5}{6}\approx0.8333\). Then, \(x = \sin^{-1}(0.8333)\). Using a calculator, \(x\approx56^{\circ}\).

Answer:

\(56^{\circ}\)