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BITSAT2022MathematicsHeights and DistancesActual

A house subtends a right angle at the window of a opposite house and the angle of elevation of the window from the bottom of the first house is 60 . If the distance between two houses be 6 ~m , then the height of the first house is

Options

  1. A8 3 ~m
  2. B6 3 ~m
  3. C4 3 ~m
  4. DNone of these

Correct answer

A. 8 3 ~m

Step-by-step solution

Let P Q be the house subtending a right angle at the window B of opposite house A B In P A B , we have 60^ = A B 6 =A B=6 3 ~m In C B Q , we have 30^ = h-C P B C array ll & 1 3 = h-6 3 6 [ A B=C P, B C=A P] & h=6 ( 3 + 1 3 ) & h=8 3 ~m array

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