Trig Angle ## Finding the Exact Values of \( x \) and \( y \)### Problem StatementFind the **exact** value of \( x \) and \( y \). (Do not round - no decimals)### DiagramBelow is a right triangle diagram with a hypotenuse of length 15 units and legs labeled \( x \) and \( y \).\[\begin{array}{c}\includegraphics[scale=0.6]{triangle_diagram.png} \\\end{array}\]### SolutionUse the Pythagorean theorem to solve for \( x \) and \( y \):Given that the hypotenuse \( c = 15 \), we know:\[ c^2 = a^2 + b^2 \]Where:- \( a = x \)- \( b = y \)- \( c = 15 \)### Answer InputFill in the values for \( x \) and \( y \) in the boxes below:\[ \text{Answer } x = \, \text{units} \]\[ \text{Answer } y = \, \text{units} \]### Instructions for Entering an Exact Answer**Example**: Enter \( 6\sqrt{3} \) not 10.39. To use a square root symbol ( \(\sqrt{\ }\) ), click in the answer box, then you will see several options for different math notations. Click on the appropriate choice and use it in your answer.

Answered: Image /qna-images/answer/4fd68e67-1b20-40fb-8fd0-2bfc848fea71.jpg

Find the exact value of x and y. (Do not round - no decimals) 15 Answer x = Answer y = x units units Y How to enter an exact answer: Example: Enter 6√3 not 10.39. To use a square root symbol (✓) click in the answer box, then you will see several options for different math notations. Click on the appropriate choice and use it in your answer.