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The upper 3 4 th portion of a vertical pole subtends an angle ⁻¹ 3 5 at a point in the horizontal plane through its foot and at a distance 40 ~m from the foot.

Options

  1. A80 ~m
  2. B20 ~m
  3. C40 ~m
  4. D80 ~m

Correct answer

A. 80 ~m

Step-by-step solution

= - 1+ or 3 5 = h 40 - h 160 1+ h 40 h 160 h ^2-200 ~h +6400=0, ~h =40 or 160 metre Therefore possible height =40 metre

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