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A 36 feet tall tree is casting a shadow 24 feet long. At
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26 Aug 2020, 05:07
26 Aug 2020, 05:07
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A 36 feet tall tree is casting a shadow 24 feet long. At the same time, a nearby tree is casting a shadow 30 feet long. If the lengths of the shadows are proportional to the heights of the trees, what is the height, in feet, of the taller tree?
A. 54
B. 45
C. 42
D. 36
E. 30
A. 54
B. 45
C. 42
D. 36
E. 30
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Re: A 36 feet tall tree is casting a shadow 24 feet long. At
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26 Aug 2020, 08:06
26 Aug 2020, 08:06
1
Carcass wrote:
A 36 feet tall tree is casting a shadow 24 feet long. At the same time, a nearby tree is casting a shadow 30 feet long. If the lengths of the shadows are proportional to the heights of the trees, what is the height, in feet, of the taller tree?
A. 54
B. 45
C. 42
D. 36
E. 30
A. 54
B. 45
C. 42
D. 36
E. 30
Given: The lengths of the shadows are proportional to the heights of the trees
This tells us we can use equivalent ratios to solve the question.
We'll compare: height/shadow
Given: A 36 feet tall tree is casting a shadow 24 feet long
Given: A a nearby tree is casting a shadow 30 feet long
Let x = the height of the nearby tree.
We can create the following equation: 36/24 = x/30
Let's make things easier on ourselves and simplify the ratio on the left side: 3/2 = x/30
Cross multiply: (2)(x) = (3)(30)
Simplify: 2x = 90
Solve: x = 90/2 = 45
Answer: B
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Re: A 36 feet tall tree is casting a shadow 24 feet long. At
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12 Aug 2024, 09:38
12 Aug 2024, 09:38
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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