Find the measure of angle x. Round your answer to the nearest hundredth. (please type the numerical anower only

Find The Measure Of Angle X Round Your Answer To The Nearest Hundredth Please Type The Numerical Anower Only class=

Answer :

For angle x, the perpendicular side is 8 and hypotenuse side is 17. The sine of angle is equal to the ratio of perpendicular side to hypotenuse side.

Determine the measure of angle x by using trigonometry.

[tex]\begin{gathered} \sin x=\frac{8}{17} \\ x=\sin ^{-1}(\frac{8}{17}) \\ =28.072 \\ \approx28.07 \end{gathered}[/tex]