SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
From the diagram, we can see that:
[tex]\begin{gathered} \sin x^0=\text{ }\frac{opposite}{\text{Hypotenuse}}=\frac{PO}{PN}=\frac{4.2}{9.\text{ 5}}=0.4421 \\ \text{Then, taking the sine inverse, we have that:} \\ x\text{ =}\sin ^{-1}(0.4421) \\ \text{x = 26.23794635} \\ x\text{ }\approx26.2^0(\text{ to the nearest tenth)} \end{gathered}[/tex]