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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…

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…
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1 vote
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?

asked
User LotAbout
by
8.7k points

1 Answer

3 votes
Ratio of height of the man to the length of the shadow = 6:9 = 2:3
Ratio of height of the tree to the length of its shadow = x:25 = 2:3
x/25 = 2/3
x = (25 x 2)/3 = 50/3 = 16.67
answered
User Tiago Veloso
by
7.9k points
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