Question
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
BITSAT
Mathematics
Heights and Distances
2022
BITSAT 2022
BITSAT Mathematics Question (2022) — Solution
Options
- A. 8 3 ~m
- B. 6 3 ~m
- C. 4 3 ~m
- D. None of these
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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