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NDA2018MathematicsHeights and DistancesActual

If a flag-staff of 6 m height placed on the top of a tower throws a shadow of 2 3 ~m along the ground, then what is the angle that the sun makes with the ground?

Options

  1. A60^
  2. B45^
  3. C30^
  4. D15^

Correct answer

A. 60^

Step-by-step solution

A B is the tower. B C is flag staff. The angles made by the shadows of tower and flag staff are same. aligned & In A B E, = h x ...(1) & In A C D, = h+6 x+2 3 ...(2) & from (1), (2), h x = h+6 x+2 3 h x+2 3 h=h x+6 x & h x = 6 2 3 = 3 3 = 3 3 3 = 3 aligned from(1), = h x = 3 =60^ .

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