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Two poles of height 10 meters and 20 meters stand at the centers of two circular plots which touch each other externally at a point and the poles subtend angles $300 a n d 600$ respectively at this point, then the distance between the centers of these circular plots is

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30 meters

503 m e t e r s

703 m e t e r s

103 + 20 m e t e r s

answer is B.

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Detailed Solution

let A and B be the centre’s of the two circles where the poles of height 10m and 20m respectively stand making angles 300 and 600 respectively at this point O where these circles touch each other externally
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The sum of the radii of two circles = The distance between the centres of the two circles

= 10 cot 30 ∘ + 20 cot 60 ∘ = 103 + 203 = 30 + 20 3 meters

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