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AP EAMCET2010MathematicsHeights and Distances

The sum of angles of elevation of the top of a tower from two points distant a and b from the base and in the same straight line with it is 90^ . Then, the height of the tower is

Options

  1. Aa^2 b
  2. Ba b^2
  3. Ca b
  4. Da b

Correct answer

C. a b

Step-by-step solution

Given, + =90^ Let the height of a tower =h Then, In A C P = h a ...(i) In A B P = h b ...(ii) ( + )= + 1- 90^ = h a + h b 1- h a h b = 1- h^2 a b =0 h^2=a b h= a b Hence, the required height of a tower is a b .

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