An iron rod 5m long is placed against the wall in such a way that the foot of the rod is 3m away from the wall. Find how high the top

Question

An iron rod 5m long is placed against the wall in such a way that
the foot of the rod is 3m away from the wall. Find how high the top of
the iron rod reaches in the wall

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Ladonna 4 years 2021-08-07T02:56:36+00:00 1 Answers 528 views 0

Answers ( )

  1. kimchi2
    0
    2021-08-07T02:58:05+00:00
    Reply

    Answer:

    4 m

    Step-by-step explanation:

    Let h represent the height reached by the tip of the rod on the wall.  The bottom tip of the rod is 3 m from the base of the wall.  Now a right triangle with horizontal leg 3 m and vertical leg h is formed with a hypotenuse of 5 m.  The Pythagorean Theorem applies here and enables us to find the value of h:

    h^2 + (3 m)^2 = 5^2, or:

    h^2 = 25 – 9 = 16

    The top of the rod is h = √16, or 4 m, above the ground.

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