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blagie [28]
3 years ago
10

The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Mathematics
1 answer:
amm18123 years ago
7 0

Answer:

4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

\tan \: 24 \degree =  \frac{height \: of \: person}{length \: of \: the \: shadow}  \\  \\ 0.4452286853 =  \frac{1.82}{x}  \\  \\ x =  \frac{1.82}{0.4452286853}  \\  \\ x = 4.08778693 \: m \\ x = 4.09 \: m

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