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BITSAT2024MathematicsHeights and DistancesActual

From the top of a cliff 50 m high, the angles of depression of the top and bottom of a tower are observed to be 30^ and 45^ . The height of tower is

Options

  1. A50 m
  2. B50 3 ~m
  3. C50( 3 -1) m
  4. D50 (1- 3 3 ) m

Correct answer

D. 50 (1- 3 3 ) m

Step-by-step solution

Accoding to condition, Let, height of tower =h In A B D, 45^ = A B B D B D=50 ~m Now, In A C C^ aligned & & 30^ & = A C^ C^ C & & 1 3 & = 50-h 50 & & 50 & =50 3 -h 3 & & h 3 & =50( 3 -1) & & h & =50 (1- 1 3 ) & & & =50 (1- 3 3 ) m aligned

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