Question

There is a rope hanging from the top of a pole with 3 feet of it lying on the ground. When it is tightly stretched, so that the end just touches the ground, it reaches a point 8 feet from the base of the pole. How long is the rope

Answer 1

length of rope
`(P+3) =12.167`

Explanation:

From the question we are told that

Length of rope on Ground
`L_1=3 feet`

Length of rope from pole base when stretched
`L_2=8feet`

Given length of pole as P

length of the rope is therefore given by

`P+3`

Generally the Pythagoras theorem is mathematically given by

`P^2+8^2=(P+3)^2`

`P^2+64=P^2+9`

`P=9.167`

Therefore

length of rope
`P=9.167`

length of rope
`(P+3) =9.167+3`

length of rope
`(P+3) =12.167`