2.1. A man is walking towards a verticle pillar in astraight line, at

1.	2.1. A man is walking towards a verticle pillar in astraight line, at a uniform speed. At a certain point Aon the path, he observes that the angle of elevation ofthe top of pillar is 30° After walking for 10 min from Ain the same direction at a point B, he observes thatthe angle of elevation of the top of the pillor is 60° thenthe time taken (in min) by him from B to reach thepillar is.
Answer» Let AB = x, BQ = y, PQ = z tan30∘=zx+ytan⁡30∘=zx+y =>z=x+y3–√z=x+y3 tan60∘=zytan⁡60∘=zy =>z=3–√yz=3y ∴x+y3–√∴x+y3=3–√y=>x=2y=3y=>x=2y ∴y=x2∴y=x2 To go x, it takes 10 minutes. To go y, it takes 5 minutes x,it takes 10 minutesy,it takes 5 minutes.answer

2.1. A man is walking towards a verticle pillar in astraight line, at a uniform speed. At a certain point Aon the path, he observes that the angle of elevation ofthe top of pillar is 30° After walking for 10 min from Ain the same direction at a point B, he observes thatthe angle of elevation of the top of the pillor is 60° thenthe time taken (in min) by him from B to reach thepillar is.

Answer»

Let AB = x, BQ = y, PQ = z

tan30∘=zx+ytan⁡30∘=zx+y

=>z=x+y3–√z=x+y3

tan60∘=zytan⁡60∘=zy

=>z=3–√yz=3y

∴x+y3–√∴x+y3=3–√y=>x=2y=3y=>x=2y

∴y=x2∴y=x2

To go x, it takes 10 minutes.

To go y, it takes 5 minutes

x,it takes 10 minutesy,it takes 5 minutes.answer