Question

solve for x. round your answer to the nearest tenth.
answer attempt 1 out of 2
additional solution no solution

Explanation:

Step1: Use the sine function

In a right - triangle, \(\sin x=\frac{\text{opposite}}{\text{hypotenuse}}\). Here, the side opposite to angle \(x\) is \(30\) and the hypotenuse is \(39\). So, \(\sin x=\frac{30}{39}\).

Step2: Calculate \(x\)

\(x = \sin^{-1}(\frac{30}{39})\).
\(\frac{30}{39}\approx0.769\).
\(x=\sin^{-1}(0.769)\).
Using a calculator, \(x\approx50.3^{\circ}\).

Answer:

\(50.3\)