If the height of a pole is $8\sqrt{3}$ meters and the length of its shadow is 8 meters, then the angle of elevation of the sun is;
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 60°
Height of the pole = $8\sqrt{3}$ m
Length of the shadow = 8 m
$\tan \theta = \frac{\text{height}}{\text{shadow}} = \frac{8\sqrt{3}}{8} = \sqrt{3}$
We know:
$\tan 60^\circ = \sqrt{3}$
Angle of elevation of the sun = 60°