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AP EAMCET2007MathematicsHeights and Distances

The angle of elevation of an object from a point P on the level ground is . Moving d metres on the ground towards the object, the angle of elevation is found to be . Then the height (in metres) of the object is

Options

  1. Ad
  2. Bd
  3. Cd +
  4. Dd -

Correct answer

D. d -

Step-by-step solution

Let the height of the object is h . In A B C , aligned & = h x+d & x+d=h & aligned And in A B D , aligned & = h x x & =h aligned On putting this value in Eq. (i), we get array llll h +d =h h( - ) =d h = d - array

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