Question

A man is walking on a road in rain which is falling down vertically holds his umbrella at angle of 45° to the vertical. Then ratio of the velocities of rain and man is​

Answer 1

Answer:

• The ratio velocities of rain and man is √2 : 1

Explanation:

Given, that a man is walking on a road while it's raining (falling vertically) and he has held the umbrella at an angle 45° to the vertical. So, the diagram will look like (See attachment).

Now, let's assume that Velocity of rain is v₁ and velocity of man is v₂. From fig 2 we can say that,

⇒ Tanθ = v₂/v₁

⇒ Tan 45° = v₂/v₁

⇒ 1/√2 = v₂/v₁

⇒ v₁/v₂=√2/1

⇒ v₁ : v₂=√2 : 1

∴ The ratio velocities of rain and man is √2 : 1.

Answer 2

Answer:

Answer:

The ratio velocities of rain and man is √2 : 1

Explanation:

Given, that a man is walking on a road while it's raining (falling vertically) and he has held the umbrella at an angle 45° to the vertical. So, the diagram will look like (See attachment).

Now, let's assume that Velocity of rain is v₁ and velocity of man is v₂. From fig 2 we can say that,

⇒ Tanθ = v₂/v₁

⇒ Tan 45° = v₂/v₁

⇒ 1/√2 = v₂/v₁

⇒ v₁/v₂=√2/1

⇒ v₁ : v₂=√2 : 1

∴ The ratio velocities of rain and man is √2 : 1.