14. 7
1) In this right triangle, let's find the missing leg, x using a trigonometric ratio.
2) Let's calculate x, by using the tangent of 73º
[tex]\begin{gathered} \tan (73)\text{ =}\frac{\text{opposite to 73º angle}}{\text{adjacent leg to 73º angle}} \\ \tan (73)=\frac{48}{x} \\ x\tan (73)=48 \\ \frac{x\tan(73)}{\tan(73)}=\frac{48}{\tan (73)} \\ x=14.67\approx14.7 \end{gathered}[/tex]
3) Hence, the missing leg measure is 14. 7 (rounded off to the nearest tenth)
