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]