abbyrush abbyrush
  • 15-03-2020
  • Mathematics
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What is the angle of elevation of the sun when a 49-ft mast casts a 10 ft shadow?

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Hrishii
Hrishii Hrishii
  • 15-03-2020

Step-by-step explanation:

[tex]tan \theta = \frac{49}{10} = 4.9 \\ \\ \therefore \: \theta = {tan}^{ - 1} 4.9 \\ \\ \therefore \: \theta = {tan}^{ - 1} (tan \: 78.465379346 \degree) \\ \\ \huge \red{ \boxed{\therefore \: \theta = 78.5 \degree}} \\ [/tex]

Hence, angle of elevation of sun is 78.5°.

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