JEE Main 20163 April
- Exam
- JEE Main
- Year
- 2016
- Date
- 3 April
- Subject
- Mathematics
- Chapter
- Heights and Distances
JEE Main 2016 · 3 April · Mathematics · Heights and Distances
A man is walking towards a vertical pillar in a straight path, at a...
A man is walking towards a vertical pillar in a straight path, at a uniform speed. At a certain point on the path, he observes that the angle of elevation of the top of the pillar is . After walking for minutes from in the same direction, at a point , he observes that the angle of elevation of the top of the pillar is . Then the time taken (in minutes) by him, from to reach the pillar, is
Options
- A
- B
- C
- D
Correct answer
B.
Step-by-step solution
ΔQPA: \dfrac{h}{x + y} = tan{30}^{°}
......\left(i\right)ΔQPB: \dfrac{h}{y} = tan{60}^{°}\to h = \sqrt{3}y
From equation \left(i\right) \text{} \left(ii\right),3y = x + y\to y = \dfrac{x}{2}∵x10min .
and distance \dfrac{x}{2} walked by him in 5min .