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KCET2008MathematicsHeights and Distances

The angle of elevation of the top of a TV tower from three points A, B and C in a straight line through the foot of the tower are , 2 and 3 respectively. If A B=a , then height of the tower is

Options

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

Correct answer

C. a 2

Step-by-step solution

In ABE , In BCE , using sine rule, aligned a (180^ -3 ) &= CE 2 CE &= a 2 3 aligned Now, in DCE , aligned & 3 = h C E & 3 = h a 2 / 3 [from Eq. (i)] & h = a 2 aligned

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