Answer:
77.4 feet
Step-by-step explanation:
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\cos C = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{74}{x}
cosC=
hypotenuse
adjacent
=
x
74
\cos 17=\frac{74}{x}
cos17=
x
74
x\cos 17=74
xcos17=74
Cross multiply.
\frac{x\cos 17}{\cos 17}=\frac{74}{\cos 17}
cos17
xcos17
=
cos17
74
Divide each side by cos 17.
x=\frac{74}{\cos 17}=77.3812\approx 77.4\text{ feet}
x=
cos17
74
=77.3812≈77.4 feet
