Question

A guy wire attached to a vertical pole of height 18 m is 24m long and has a stake attached to the other end. How far from the base of the pole should the stake be driven so that the wire will be taut? 

Answer 1

  

Let AB be a guy wire attached to a pole BC of height 18 m. Now, to keep the wire taut let it to be fixed at A.
Now, In right triangle ABC
By using Pythagoras theorem, we have 

`AB^2=BC^2+CA^2` 

⇒ `24^2=18^2+CA^2` 

`⇒ CA^2=576-324` 

`⇒ CA^2=252` 

`⇒ CA=6sqrt7` m  

Hence, the stake should be driven` 6 sqrt7`𝑚 far from the base of the pole.