Answer:
95.7
Step-by-step explanation:
\sin C = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{95}{x}
sinC=
hypotenuse
opposite
=
x
95
\sin 83=\frac{95}{x}
sin83=
x
95
x\sin 83=95
xsin83=95
Cross multiply.
\frac{x\sin 83}{\sin 83}=\frac{95}{\sin 83}
sin83
xsin83
=
sin83
95
Divide each side by sin 83.
x=\frac{95}{\sin 83}=95.7134\approx 95.7\text{ feet}
x=
sin83
95
=95.7134≈95.7 feet
Type into calculator and roundto the nearest tenth of a foot.
