28.1 feet
explaination
\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}
cosU=
hypotenuse
adjacent
=
x
9.6
\cos 70=\frac{9.6}{x}
cos70=
x
9.6
x\cos 70=9.6
xcos70=9.6
Cross multiply.
\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}
cos70
xcos70
=
cos70
9.6
Divide each side by cos 70.
x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}
x=
cos70
9.6
=28.0685≈28.1 feet
Type into calculator and roundto the nearest tenth of a foot.
