A 500-foot weather towe

Question

1. A 500-foot weather tower used to measure wind speed has a guy wire attached to it 200 feet above the ground. The angle between the wire and the vertical tower is 470. Approximate the length of the guy wire to the nearest foot.

Answer 1

When I sketch this out, assuming "470" is 47^o, I see that length of the wire L comes from cos 47 = 200/L, therefore L = 293 ft.