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Allister, who is 5 feet tall, is standing three feet from a mirror lying on the ground. When he looks into the mirror, he can just see the top of a tree that is 24 feet away from the mirror. Make a sketch of this situation, and use it to calculate the height of the tree

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Answer:

40 feets

Step-by-step explanation:

Given that :

Observer's height = 5 feets

Observer's distance from the mirror = 3 feets

Distance of tree away from the mirror = 24 feets

To obtain the height of tree:

Observer's distance (Od) / tree distance (Td) = Observer's height(Oh) / tree height (Th)

Od / Td = Oh / Th

3 / 24 = 5 / Th

3 * Th = 24 * 5

Th = 120 / 3

Th = 40 feets

Hence, the height of tree is 40 feets

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