length of a wire making angle of 58°

Question

A wire is stretched from the top of a 112 foot tall building to the ground below, making an angle of 58° with the ground. How long is the wire?

Answer 1

Assuming the  ground the the building meet at a right angle (90 degrees), use the sine of the angle 58° to find the length (L) of the wire.

 

 

sin 58° = 112 ft/ L this implies that L = 112 ft/ sin 58° = 132 ft The length of the wire.