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alexandr1967 [171]
3 years ago
15

The shadow of a tree measures 25 feet from its base. The angle of elevation to the Sun is 31º How tall is the tree? Round your a

nswer to the
nearest foot

Mathematics
1 answer:
grigory [225]3 years ago
4 0

Answer: 15 feet

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of elevation to the sun, , the opposite side (x) is the height of the tree, and the adjacent side is the length of the shadow.

Replacing with the values given:  

Tan 31 = x /25

Tan 31 (25) =x

x = 15 feet

Feel free to ask for more if needed or if you did not understand something.  

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