stunnakid5121 stunnakid5121
  • 24-02-2021
  • Mathematics
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A certain flagpole that is 286 feet tall cast a shadow 137 feet long. Find the angle of elevation of the sun.

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JeanaShupp
JeanaShupp JeanaShupp
  • 25-02-2021

Answer: The angle of elevation of the sun [tex]=64.40^{\circ}[/tex]

Step-by-step explanation:

According to the trigonometry,

In a right triangle,

[tex]tan A=\dfrac{Perpendicular}{Base}[/tex]

Let angle of elevation of the sun = x

From the given figure, Perpendicular = 286 feet

Base = 137 feet

[tex]\tan x =\dfrac{286}{137}\\\\ \tan x = 2.0876\\\\ x=\tan^{-1}(2.0876)\\\\ x=64.40^{\circ}[/tex]

The angle of elevation of the sun [tex]=64.40^{\circ}[/tex]

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