Question

Use Right Triangle Trigonometry to solve for the value of x and y. Round your answer to the nearest TENTH.

Answer 1

We will have the following:

$\begin{gathered} \frac{7}{sin(90)}=\frac{y}{sin(36)}\Rightarrow y=\frac{7sin(36)}{sin(90)} \\ \\ \Rightarrow y=4.114496766...\Rightarrow y\approx4.1 \end{gathered}$

So, the measure of "y" is approximately 4.1.

Now, we determine the value of x:

$\begin{gathered} x=\sqrt{7^2-4.1^2}\Rightarrow x=5.673623181... \\ \\ \Rightarrow x\approx5.7 \end{gathered}$

So, the measure of "x" is approximately 5.7.