Q32 / 91 · KVPY 2020 (SB/SX) · Mathematics

A person standing on the top of a building of height 603 feet observed the top of a tower to lie at an elevation of 45°. That person descended to the bottom of the building and found that the top of the same tower is now at an angle of elevation of 60°. The height of the tower (in feet) is

  • A
    30
  • B
    30(3+1)
  • Correct answer
    C
    90(3+1)
  • D
    150(3+1)

Solution

603+dd=3
⇒d=6033-1

⇒h=6031+13−1

=60×33−1=90(3+1)

Figure

Hence, the correct answer is option: 'C'.

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