Answer:
10.5 feet
Step-by-step explanation:
SOH-CAH-TOA
\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{6.2}{x}
sinK=
hypotenuse
opposite
=
x
6.2
\sin 36=\frac{6.2}{x}
sin36=
x
6.2
x\sin 36=6.2
xsin36=6.2
Cross multiply.
\frac{x\sin 36}{\sin 36}=\frac{6.2}{\sin 36}
sin36
xsin36
=
sin36
6.2
Divide each side by sin 36.
x=\frac{6.2}{\sin 36}=10.5481\approx 10.5\text{ feet}
x=
sin36
6.2
=10.5481≈10.5 feet
