NCERT Solutions for Class 10 Maths Chapter 6
Important NCERT Questions
Triangles
NCERT Books for Session 2022-2023
CBSE Board and UP Board Others state Board
EXERCISE 6.5
Page No:151
Questions No:10
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?
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Let OB is vertical pole in the figure.
In triangle AOB, by pythagoras theorem
AB² = OB² + OA²
⇒ 24² = 18² + OA²
⇒ 576 = 324 + OA²
⇒ OA² = 252
⇒ OA = 6 √7m
Hence, the distance of stake from the base of the pole is 6 √7m.