Question

A wire attached to vertical pole of height 18m 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

The stake should be driven  $\sqrt{252}$ m (This is 15.87450787 so you can round to whatever value you need to or keep it as a square root) away from the vertical pole.

This can be solved through the Pythagorean theorem.

First, we can change the equation to fit what we are doing. It would become $\sqrt{c^2-b^2} = a$

The height of the pole, 18 m is b, and the length of the wire, 24 m is c.

Now, we need to substitute in the variables into the equation which will give us $\sqrt{24^2 -18^2} = a$

This will simplify into $\sqrt{576-324} = a$

Again this simplifies even further into $\sqrt{252} = a$

Answer 2

Refer The Attachment ⬆️

Hope It Helps You ✌️