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NDA2019MathematicsHeights and DistancesActual

A ladder 9 m long reaches a point 9 m below the top of a vertical flagstaff. From the foot of the ladder, the elevation of the flagstaff is 60^ . What is the height of the flagstaff?

Options

  1. A9 m
  2. B10.5 m
  3. C13.5 m
  4. D15 m

Correct answer

C. 13.5 m

Step-by-step solution

P A B is isosceles aligned & =30^ & In A B D aligned aligned & 30^ = h x = 1 3 & x=h 3 aligned In P B O , aligned & 60^ = 3 = 9+h x & 3 = 9+h h 3 & 3 h=q+h & h= 9 2 m aligned Total height =13.5 ~m

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