Answer:
length of rope [tex](P+3) =12.167[/tex]
Step-by-step explanation:
From the question we are told that
Length of rope on Ground [tex]L_1=3 feet[/tex]
Length of rope from pole base when stretched [tex]L_2=8feet[/tex]
Given length of pole as P
length of the rope is therefore given by
[tex]P+3[/tex]
Generally the Pythagoras theorem is mathematically given by
[tex]P^2+8^2=(P+3)^2[/tex]
[tex]P^2+64=P^2+9[/tex]
[tex]P=9.167[/tex]
Therefore
length of rope [tex]P=9.167[/tex]
length of rope [tex](P+3) =9.167+3[/tex]
length of rope [tex](P+3) =12.167[/tex]
