### Home > A2C > Chapter 11 > Lesson 11.2.1 > Problem11-46

11-46.

The Flat Building's roof is $32$ feet wide and $60$ feet long. An antenna rises $25$ feet above the center of the roof, and wires connect from the top of the antenna to each corner of the roof and to the midpoint of each edge, as shown in the picture below.

1. What is the total length of wire needed (without counting any extra needed for attaching it)?

$306.3 \text{ feet}$

2. The wires that attach to the corners of the building form an angle with the roof. Find the measure of that angle.

Use the trigonometric relationships:

3. Suppose the height of the antenna is $x$ feet (instead of $25$ feet). Represent the total length of the wires in terms of $x$.

$4\sqrt{x^2+1156}+2\sqrt{x^2+256}+2\sqrt{x^2+900}$