Answer:
9.5 feet
Explanation:
What function uses the ADJACENT and the HYPOTENUSE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos F = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{6.5}{x}
cosF=
hypotenuse
adjacent
=
x
6.5
\cos 47=\frac{6.5}{x}
cos47=
x
6.5
x\cos 47=6.5
xcos47=6.5
Cross multiply.
\frac{x\cos 47}{\cos 47}=\frac{6.5}{\cos 47}
cos47
xcos47
=
cos47
6.5
Divide each side by cos 47.
x=\frac{6.5}{\cos 47}=9.5308\approx 9.5\text{ feet}
x=
cos47
6.5
=9.5308≈9.5 feet