Q. 10 4.4( 85 Votes )

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

Answer :

To find: OA

Let OB be the pole and AB be the wire

By Pythagoras theorem,

Pythagoras Theorem :  the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

AB2 = OB2 + OA2

(24)2 = (18)2 + OA2

OA2 = (576 – 324)

OA2 = 252

OA = 6√7 m

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