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Two poles standing on a horizontal ground are of heights x meters and 40 meters respectively. The line joining their tops makes an angle of 30 o with the ground and the distance between the foot of the poles is 30 3 meters, then the value of x can be

Options

  1. A20
  2. B30
  3. C10
  4. D50

Correct answer

C. 10

Step-by-step solution

Given A B = x ,   C D = 40 and ∠ D B E = 30 o In ∆ B D E , D E B E = tan 30 o D E = B E tan 30 o 40 − x = 30 3 ⋅ 1 3 ⇒ x = 10 or 70

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