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NCERT Solutions Class 10 Mathematics Solutions for Triangles - Exercise 6.5 in Chapter 6 - Triangles

Question 12 Triangles - Exercise 6.5

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?

Question 12 Image - NCERT Solutions - Mathematics , Class 10 chapter Triangles

Answer:

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.

NCERT Solutions - Mathematics , Class 10 chapter Triangles Question 12 Solution image

Let AB be the pole and AC be the wire.

By Pythagoras theorem,

AC2 = AB2 + BC2

242 = 182 + BC2

BC= 576 – 324

BC= 252

BC = 6√7m

Therefore, the distance from the base is 6√7m.

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