Answer:
x = 13.7
Step-by-step explanation:
Use sine:
[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]
We have a measure of the angle and length of the hypotenuse:
[tex]\alpha=17^o,\ hypotenuse=47[/tex]
[tex]\sin17^o\approx0.2924[/tex]
Therefore we have the equation:
[tex]\dfrac{x}{47}=0.2924[/tex] multiply both sides by 47
[tex]x=13.7428\to x\approx13.7[/tex]
