Mathematics

Question

Dimitri wants to measure the height of the palm tree. He lines himself up with the palm tree's shadow so that the tip of his shadow meets the tip of the palm tree. then he ask a friend to measure the distant from where he was standing to the tip of his shadow and the distance from the palm tree to the tip of his shadow what is the height of the palm tree
Dimitri wants to measure the height of the palm tree. He lines himself up with the palm tree's  shadow so that the tip of his shadow meets the tip of the palm t

2 Answer

  • Answer:

    24 feet

    Step-by-step explanation:

    First, I used the proportion method to set up the numbers. I used x for the height of the tree.

    x/45 = 6/11.25

    Notice that the x and the 6 are both the heights of the tree and Dimitri and that they are both on the top of the fractions.

    45 and 11.25 are the lengths of the shadows and they are both on the bottom of the fractions.

    Next, I did 6 times 45 and got 270. Then I did 270 divided by 11.25 and got 24.

    You're welcome!     :)

  • Answer:

    24 ft  

    Step-by-step explanation:

    Let h = the height of the tree.

    The two triangles are similar, so

    h/45 = 6/11.25     Multiply each side by 45

          h = 24 ft

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