Answer:
[tex]x=11[/tex]
Step-by-step explanation:
This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:
[tex]leg=x\\hypotenuse=x\sqrt{2}[/tex]
Therefore, the value of x is 11.
You can double-check using the sine ratio:
[tex]sineX=\frac{opposite}{hypotenuse}[/tex]
Insert the values:
[tex]sin45=\frac{x}{11\sqrt{2} }[/tex]
Insert the equation into a calculator:
[tex]x=11[/tex]
:Done
*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.
