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} (7)/(sin(90))=(y)/(sin(36))\Rightarrow y=(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=√(7^2-4.1^2)\Rightarrow x=5.673623181... \\ \\ \Rightarrow x\approx5.7 \end{gathered}`

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