Problema Solution

A 76-foot guy-wire (a = 76) makes an angle of 60° with the ground and is attached to a telephone pole (see figure). Find the distance from the base of the pole to the point on the pole where the wire is attached. Express your answer to the nearest tenth of a foot.

Answer provided by our tutors

Let 'x' represent the length of the pole.  The sine is "side opposite divided by hypotenuse":

sin(60)=x/76

click here to solve for x

x=65.817

The pole is approximately 65.8 feet away from the point of the wire's attachment.