Answer:
44 ft
Step-by-step explanation:
There are a couple of ways this can be worked. You could find the height of the tower, then use the Pythagorean theorem to find the wire length.
Or, you can find the wire length for the smaller triangle and scale up the result to the larger triangle. We choose this method.
The length of the wire (w) from the stake to the top of the pole is given by the Pythagorean theorem:
w² = 4² +7² = 16 +49 = 65
w = √65 . . . . . . take the square root
The base of the larger triangle is 18+4 = 22. The scale factor from the smaller to larger triangle is the ratio of base lengths: 22/4 = 11/2
The overall length of the guy wire is this ratio times "w" ...
(11/2)√65 ≈ 44 . . . . feet
