Share
Notifications

View all notifications

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? - Mathematics

Login
Create free account


      Forgot password?

Question

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?

Solution

Let OB be the pole and AB be the wire.

By Pythagoras theorem,

AB2 = OB2 + OA2

(24m)2 = (18m)2 + OA2

OA2 = (576 - 324)m2 = 25 m2

OA2 = `sqrt252 `

 Therefore, the distance from the base is `6sqrt7 m`

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 (Latest))
Chapter 6: Triangles
Ex. 6.5 | Q: 10 | Page no. 151
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 7: Triangles
Ex. 7.7 | Q: 20 | Page no. 121
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 7: Triangles
Ex. 7.7 | Q: 20 | Page no. 121
Solution 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? Concept: Pythagoras Theorem.
S
View in app×