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makvit [3.9K]
3 years ago
5

A tree casts a shadow 24 feet long. a 5 foot person casts a 8 foot shadow.How tall is the tree?

Mathematics
1 answer:
ra1l [238]3 years ago
8 0
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)

24/x = 8/5

24*5 = x*8

120 = 8x

8x = 120

8x/8 = 120/8

x = 15

The tree is 15 feet tall
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Answer:

The volume of the composite figure is:

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Step-by-step explanation:

To identify the volume of the composite figure, you can divide it in the known figures there, in this case, you can divide the figure in a cube and a pyramid with a square base. Now, we find the volume of each figure and finally add the two volumes.

<em>VOLUME OF THE CUBE. </em>

Finding the volume of a cube is actually simple, you only must follow the next formula:

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So:

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<em>VOLUME OF THE PYRAMID. </em>

The volume of a pyramid with a square base is:

  • Volume of a pyramid = 1/3 B * h

Where:

<em>B = area of the base. </em>

<em>h = height. </em>

How you can remember, the area of a square is base * height, so B = 6 ft * 6 ft = 36 ft^2, now we can replace in the formula:

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Finally, we add the volumes found:

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