A guy wire attached to a vertical pole of height 18 m is 24 m 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?

Given 

A guy wire attached to a vertical pole of height 18 m is 24 m long and has a stake attached to the other end.

Find out

The distance of the foot of the ladder from the base of the wall.

Solution

Triangles Exercise 6.5 Answer 10

AB is pole = 18m

AC is wire = 24m

BC = ?

In right ∆ABC, by Pythagoras theorem

(AC)= (AB)+ (BC)2

(24)= (18)+ (BC)2

576 = 324 + (BC)2

576 – 324 = (BC)2

252 = (BC)2

√252 = BC

√(2 * 2 * 3 * 3 * 7) = BC 

2 * 3√7 = BC

6√7 = BC

∴ Hence, the stake may be placed at distance of 6√7 from the base of the pole.

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