Answer: 52.1
Step-by-step explanation:
\cos F = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{x}{57}
cosF=
hypotenuse
adjacent
=
57
x
\cos 24=\frac{x}{57}
cos24=
57
x
57\cos 24=x
57cos24=x
Cross multiply.
x=52.0721\approx \mathbf{52.1}\text{ feet}
x=52.0721≈52.1 feet
