Question : If a pole of 12 m height casts a shadow of $4\sqrt{3}$ m long on the ground, then the sun's angle of elevation at that instant is:
Option 1: 30°
Option 2: 60°
Option 3: 45°
Option 4: 90°
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Correct Answer: 60°
Solution :
Height of pole = 12 m
Length of shadow = $4\sqrt3$ m
Now, $\tan$ $\theta$ = $\frac{12}{4\sqrt3}$
⇒ $\tan$ $\theta$ = $\frac{3}{\sqrt3}$
⇒ $\tan$ $\theta$ = $\sqrt3$ = $\tan$ 60°
⇒ $\theta$ = 60°
Hence, the correct answer is 60°.
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