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Two poles standing on horizontal ground are of heights 10 meters & 40 meters respectively. The line joining their tops makes an angle of 30 o with the ground. Then the distance (in meters) between the foot of the poles is

Options

  1. A20
  2. B30
  3. C20 3
  4. D30 3

Correct answer

D. 30 3

Step-by-step solution

given, A B = 10 ,   C D = 40 ∠ D B E = 3 0 o in Δ B D E , D E B E = tan ⁡ 30 o B E = D E tan ⁡ 3 0 o = 30 1 3 = 30 3 meters

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