Question : If the height of a pole is $2\sqrt{3}$ metres and the length of its shadow is 2 metres, then the angle of elevation of the sun is:
Option 1: 90°
Option 2: 45°
Option 3: 30°
Option 4: 60“
Answer (1)
12th Jan, 2024
Correct Answer: 60“
Solution :
Let AB be the pole and AC be the shadow of the pole.
Let $\angle$ ACB = $\theta$
Then, AB = $2\sqrt{3}$ m and AC = 2 m
$\tan\theta=\frac{2\sqrt{3}}{2}$
⇒ $\tan\theta=\sqrt{3}$
⇒ $\tan\theta=\tan60°$
⇒ $\theta=60°$
Hence, the correct answer is 60°.
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