### Home > INT3 > Chapter 10 > Lesson 10.3.1 > Problem 10-149

The Flat Building’s roof is

What was the total length of wire used to connect the antenna to the roof (without counting any extra needed for attaching it)?

First, find the length of the wire connected to the midpoint of the long edge.

You know that the antenna risesfeet ( ) and the distance from the antenna to the edge is, half of the width ( ).

Use the Pythagorean Theorem to find the length of the wire.Use similar strategies to find the lengths of the remaining wires.

The total length isfeet of wire. The wires that attach to the corners of the building form an angle with the roof. Find the measure of that angle.

Use inverse tangent to find the angle, using the lengths you derived from part (a).

Suppose the height of the antenna is

feet (instead offeet). Represent the total length of the wires in terms of .Substitute

for the heights, and add the lengths of the wires.