Question

A guy wire runs from the top of a cell tower to a metal stake in the ground. Mohal places a 8-foot tall pole to support the guy wire. After placing the pole, Mohal measures the distance from the stake to the pole to be 11 ft. He then measures the distance from the pole to the tower to be 20 ft. Find the length of the guy wire, to the nearest foot.

Answer 1

38ft

Explanation:

`8^(2) +11^2=c^2\\64+121=c^2\\√(185) =c`

c=13.6

`(13.6)/(11) =(x)/(31)`

11x=(13.6)(31)

11x=421.6

divide both sides by 11

x=38.33

round to the nearest foot

x=38ft