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AP EAMCET2004MathematicsHeights and Distances

An aeroplane flying with uniform speed horizontally one km above the ground is observed at an elevation of 60^ . After 10 ~s if the elevation is observed to be 30^ , then the speed of the plane (in km / h ) is

Options

  1. A240 3
  2. B200 3
  3. C240 3
  4. D120 3

Correct answer

C. 240 3

Step-by-step solution

array llll 60^ & = D P A P 3 & = 1 A P A P & = 1 3 & [ E Q=D P=1] array In E A Q , aligned 30^ & = E Q A P+P Q 1 3 & = 1 1 3 +P Q 1 3 +P Q= 3 P Q & = 3 - 1 3 = 2 3 ~km Speed of plane & = Distance Time = 2 / 3 10 60 60 = 2 3 3600 10 & =240 3 ~km / h aligned

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