SOLUTION: Hi can someone please help me. How high is a tree that casts a 35ft shadow at the same time a 44​ft post casts a shadow which is 12ft ​long?

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Question 1039776: Hi can someone please help me.
How high is a tree that casts a 35ft shadow at the same time a 44​ft post casts a shadow which is 12ft ​long?
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Use similar right triangles, then
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let AB = height of tree and AC = 35 is the length of the tree's shadow
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tangent of angle BCA = 44/12 = 3.67 and
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inverse tangent of BCA = 74.74 degrees, then
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tan 74.74 = AB / 35, therefore
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AB = 3.67 * 35 = 128.45
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The tree is 128.45 feet high
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