Question

Suppose two telephone poles are 60 ft apart and the length of the wire between the poles is 61 ft. If the lowest point of the wire must be 17 ft above the ground, how high up on each pole should the wire be attached?

Answer 1

Answer:

H=22.5ft

Step-by-step explanation:

According to the graph, we must find y to determine the height at which the rope must be placed so that the lowest point of the rope is 17 ft high .

applying the pythagorean theorem

$h^{2}=x^{2} +y^{2}\\y^{2}=h^{2} -x^{2}\\y^{2}=30.5^{2} -30^{2}\\ y^{2}=930.25-900\\y=\sqrt{30.25}=5.5ft$

then H=17ft+5.5ft=22.5ft