Question

question solve for x. round to the nearest tenth of a degree, if necessary. answer attempt 1 out of 2

Explanation:

Step1: Use sine function

In a right - triangle, the sine of an angle \(x\) is defined as \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to angle \(x\) is \(9\) and the hypotenuse is \(18\). So, \(\sin x=\frac{9}{18}\).

Step2: Simplify the fraction and find the angle

Simplify \(\frac{9}{18}=\frac{1}{2}\). We know that if \(\sin x = \frac{1}{2}\), then \(x=\sin^{- 1}(\frac{1}{2})\). Using a calculator or the unit - circle, \(\sin^{-1}(\frac{1}{2}) = 30^{\circ}\)

Answer:

\(30^{\circ}\)