SOLUTION: how long must a wire be in order to reach from the top of a 13-m telephone pole to a point on the ground 9 m from the base of the pole?

Question 309017: how long must a wire be in order to reach from the top of a 13-m telephone pole to a point on the ground 9 m from the base of the pole?
Answer by mollukutti(30) (Show Source): You can put this solution on YOUR website!
Here we will make use of the Pythagoras Theorem which states
Hypotenuse = √(Base^2 + Perpendicular^2)
In this question:
Length of the Pole = Perpendicular = 13 m
The distance from the base of the pole to where the wire meets= Base = 9
The wire itself = Hypotenuse
Therefore the length of the wire is:
√(Base^2 + Perpendicular^2)
= √(9^2 + 13^2)
= √(81 + 169)
= √(250)
= 5√ 10
~ 15.81m
RELATED QUESTIONS
How long must a wire be to reach from the top of a 13 meter telephone pole to a point on... (answered by rfer)

A wire 20m long is attached to the top of a telephone pole. The wire is just able to... (answered by richwmiller)

A wire reaches from the top of a 13-meter telephone pole to a point on the ground 9... (answered by jim_thompson5910)

A wire from the top of a telephone pole to a point on the ground 20m from the pole is 40m (answered by cleomenius,MathTherapy)

A 17 meter wire reaches from the top of a 14-meter telephone pole to a point on the... (answered by ikleyn)

Guy Wire. How long is a guy wire reaching from the top of a 12-ft pole to a point on the... (answered by eperette,Electrified_Levi)

Guy Wire. How long is a guy wire reaching from the top of a 21 ft pole to a point on the... (answered by RAY100)

a 30 foot telephone pole is perpendicular to the ground. A support wire that is 40 feet... (answered by addingup)

Guy Wire. How long is a guy wire reaching from the top of a 9 ft pole to a point on the... (answered by rfer)