Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
[tex] \sin(60) = \frac{28}{h} [/tex]
[tex]0.866 = \frac{28}{h} [/tex]
[tex]h = \frac{28}{0.866} [/tex]
[tex]h = 32.33[/tex]
The length of the cable is approximately 32 feet
