A light post is 4 ft tall and cast a shadow of 5 ft. Find the distance between the top of the post and the end of the shadow.

Question

A light post is 4 ft tall and cast a shadow of 5 ft. Find the distance between
the top of the post and the end of the shadow.

O 9 ft
O 6.4 ft
O 3 ft
O 4 ft

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Khánh Gia 3 years 2021-08-27T17:03:04+00:00 2 Answers 6 views 0

Answers ( )

  1. thucuc
    0
    2021-08-27T17:04:42+00:00
    Reply

    Answer:

    6.4 ft

    Step-by-step explanation:

    Let “a” be the light post height

    Let “b” be the length of the shadow

    Let “c” be the distance from the top of the light post to the end of the light post’s  shadow.

    Then:

    (a X a) + (b X b) = c X c

    The Pythagorean Theorem will work pretty well here:

    (4 X 4) + (5 X 5) = 16 + 25 = 41

    The square root of 41 is: 6.4023

    So, about 6.4 ft from the top of the post to the end of the shadow

  2. Bo
    0
    2021-08-27T17:05:02+00:00
    Reply

    Answer:

    6.4ft

    Step-by-step explanation:

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