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Nataliya [291]
3 years ago
7

At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow i

s 35 feet long.
Mathematics
1 answer:
MrRa [10]3 years ago
5 0
Answer: approximately 29 feet

Explanation: You need to find a tree so that the angle of elevation from the end of the shadow to top of the tree is 40 degrees.

The length of the shadow is an adjacent side and is 35.
The height of the tree is the opposite side.  You could use X.

Tan ratio = opposite/adjacent

tan(40) =  x/35
x = 35*tan(40) =29.37
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The first step to solve this is that we need for the two sides of the equation to have the same base. (the number 5 on the left side is the base, so we need to also have a 5 as the base on the right side).

We do this by noting that:

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We know that 25 is equal to 5 squared (because 5x5 is 25)

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Since we have the same base on both sides (5), we follow the rule:

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