A pole broke at a point but did not separate, its top touched the ground at a distance of 7m from it’s

base. If the po

A pole broke at a point but did not separate, its top touched the ground at a distance of 7m from it’s

base. If the point where it broke is at a height of 24m from ground. What was the total height of the

pole before it broke?​

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2 thoughts on “A pole broke at a point but did not separate, its top touched the ground at a distance of 7m from it’s <br /><br />base. If the po”

  1. Distance between the pole and the

    ground = 7m

    Distance between the ground and the point at

    the pole where it broke= 24m

    Let the distance between the point at which the

    pole broke and the point where it touched the

    ground be “X”

    By, Pythagoras Theorem:

    X^2 = 7^2 + 24^2

    X^2 = 49 + 576

    X^2 = 625

    X = √625

    X = 25

    Therefore, the height of the pole

    = (X + 24)m

    = (25+24)m

    = 49m

    Hope you found it helpful!

    Reply
  2. Answer:

    The total height of the pole is 49m

    Step-by-step explanation:

    • let AB be the height of remaining part of the broken pole = 24 m
    • BC be the distance from the base of the pole to the point where the top of the pole touches the ground = 7m
    • AC be the broken part of the pole

    ACB forms a triangle ️

    By phythagorus theorem

    AC² = AB² + BC²

    = (24)² + (7)²

    = 576 + 49

    AC² = 625

    (squaring on both sides)

    AC = 25

    Therefore the total height of the pole

    = AC + AB

    = 24+25

    = 49 m

    Hope this helps…!

    Reply

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