Let's assume the length of the cable is x.
We need to find the hypotenuse x and the opposite side is AB = 800 yards is given. So, we can use sin ratio to find x. Because,
[tex] sin\theta = \frac{Opposite side}{hypotenuse} [/tex]
So, [tex] Sin 37 = \frac{800}{x} [/tex]
[tex] 0.6018= \frac{800}{x} [/tex]
[tex] 0.6018*x= \frac{800}{x}*x [/tex]
0.6018 x = 800
[tex] \frac{0.6018x}{0.6018} =\frac{800}{0.6018} [/tex]
So, x = 1329.345297
x = 1329 ( Rounded to nearest integer).
Hence, the length of cable must be 1329 yards.
Hope it's helps you!
