10th grade

posted by boom

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

  1. drwls

    Please indicate subject, not grade level. That will help increase the chances that the appropriate teacher reads your question.

    Because of similar-triangle geometry rules, the ratio of shadow length to the height of the object casting the shadow is a constant. If the tree height is x,
    25/x = 9/6

    Solve for x.

  2. trips

    37.5

  3. Mo

    Its 47 feet.

  4. Anonymous

    what?

  5. Shail

    25/9=x/6
    ...
    (25*2)/3
    =50/3
    =16.666666..... feet!

  6. Shail

    The ques tion is wrong...
    it ain't 26/x=9/6

    its 25/9=x/6

  7. Andrew

    37.5

  8. Joyce

    A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

    25/x = 9/6 (where 25 is the tree's shadow, x is the unknown height of the tree, 9 is the man's shadow and 6 is the man's height)

    solve for x
    cross multiply 25(6) = (9)x
    150 = 9x
    x = 150/9
    do the division
    x = 16.6
    the tree is 16.6 feet or about 17 feet tall

  9. Anonymous

    A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

  10. Emma

    9.75 feet

  11. mary

    Math is shhhittt

  12. nithya

    i want an answer of this...plz help me... a vertical stick of 30m long casts a shadow 15m long on the ground. at the same time a tower casts a shadow 75 m long on the ground. what is the height of the tower?

  13. Riley

    a telephone pole casts a 36 foot shadow nearby a 6 foot man casts an 8 foot shadow how tall is the telephone pole

  14. abc123

    ??????

  15. anonymous

    6/x = 9/25
    9x = 150
    x = 150/9
    x = 16.666.../16.7/17 feet

  16. LANA DEL REY

    //DOWN ON THE WEST COAST/ THEY GOT A SAYING//

  17. LANA DEL REY

    ORDER "HONEYMOON" ON ITUNES NOW!

  18. Biiitch

    Free my niiigga Barry out the chain gang

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