Question

A wooden pole is 20 m high. A steel wire is tied to the top of the pole and fixed to the ground. If the angle made by the

wire with the ground is 60°, find the length of the steel wire.​

Answer 1

23.09 meters.

Explanation:

Sin(60) = opposite / hypotenuse = pole / steel wire

pole = 20 m

angle = 60 degrees.

sin(60) = 20/ hypotenuse multiply both sides by the hypotenuse

hypotenuse * sin(60) = 20 divide by sin(60)

hypotenuse = 20 / 0.866 do the division

hypotenuse = 23.09

The steel wire = 23.09 meters.