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Harman [31]
3 years ago
9

A certain flagpole that is 286 feet tall cast a shadow 137 feet long. Find the angle of elevation of the sun.

Mathematics
1 answer:
quester [9]3 years ago
3 0

Answer: The angle of elevation of the sun =64.40^{\circ}

Step-by-step explanation:

According to the trigonometry,

In a right triangle,

tan A=\dfrac{Perpendicular}{Base}

Let angle of elevation of the sun = x

From the given figure, Perpendicular = 286 feet

Base = 137 feet

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

The angle of elevation of the sun =64.40^{\circ}

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