In the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy- wire parallel to the telephone pole , John knows the distance he put his pole from the anchor, which is
labeled x. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephone pole.
Do you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
N.
5 ft
X
16 ft