20kdiallo 20kdiallo
  • 23-03-2020
  • Mathematics
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What is the angle of elevation of the sun when a 44-ft mast casts a 14 ft shadow?

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Hrishii
Hrishii Hrishii
  • 23-03-2020

Step-by-step explanation:

Let the angle of elevation be [tex] \theta[/tex]

[tex] \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}[/tex]

Hence, angle of elevation of the sun is 72.35°.

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