JEE Advanced Mathematics question
Not in JEE syllabus
A 6-ft-tall man finds that the angle of elevation of the top of a 24-ft-high pillar and the angle of depression of its base are complementary angles. The distance of the man from the pillar is
Answer: (C)
Solution
Let the man's eye be at height 6 ft and his horizontal distance from the pillar be . Above eye level the pillar rises ft; below eye level it extends 6 ft down to its base.
- Angle of depression of the base: $θ =
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