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NDA2015MathematicsHeights and DistancesActual

Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15^ with the horizontal. The distance between the poles is approximately equal to

Options

  1. A36.3 m
  2. B37.3 in
  3. C38.3 m
  4. D39.3 in

Correct answer

B. 37.3 in

Step-by-step solution

aligned & 15^ = DE / AE & AE =10 15^ ....(1) & (15^ )= (45-30^ ) & = 45^ 30^ +1 30^ - 45^ aligned aligned & 15^ = 1 3 +1 3 -1 =2+ 3 & Putting 15^ in eq (1) & AE =10 15^ & =10(2+ 3 ) & =10(3.73)=37.3 ~m aligned

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