Question

Solve forx. Round to the nearest tenth of a degree, if necessary.

Answer 1

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:

`\begin{gathered} \sin x^0=\text{ }\frac{opposite}{\text{Hypotenuse}}=(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}`