brendaramos20983 brendaramos20983
  • 13-08-2020
  • Mathematics
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The angle of elevation of the sun is 24°. What is the length of the shadow cast by a person 1.82 m tall?

Respuesta :

Hrishii
Hrishii Hrishii
  • 13-08-2020

Answer:

4.09 m

Step-by-step explanation:

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

[tex] \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[/tex]

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