Answer:
[tex]x\approx 7.88[/tex]
Step-by-step explanation:
Since we are given the angle and the hypotenuse and we want to find the side opposite to the angle, we can use the sine ratio. Recall that:
[tex]\displaystyle \sin\theta^\circ =\frac{\text{opposite}}{\text{hypotenuse}}[/tex]
Substitute:
[tex]\displaystyle \sin21=\frac{x}{22}[/tex]
Solve for x:
[tex]x=22\sin 21[/tex]
Use a calculator (make sure you're in Degrees mode!):
[tex]x\approx 7.88[/tex]
