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If the length of the shadow of a tower is 3\sqrt{3} times its height, then the angle of elevation of the sun is:

Solution

✅ Correct Option: 4

Let the height be hh; the shadow is 3h\sqrt{3}h. Then tan⁡θ=h/(3h)=1/3\tan\theta = h/(\sqrt{3}h) = 1/\sqrt{3}. Since tan⁡30°=1/3\tan 30° = 1/\sqrt{3}, the angle of elevation is 30°.

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