Question

A man is walking on a road in which in falling down vertically holds his umbrella at an angle 30 degrees to the vertical then the ratio of the velocities of rain and man is

Answer 1

Hope u understand the calculations yourself

Answer 2

Given,

A man is walking on a road

falling down vertically holds his umbrella at an angle of 30 degrees

To find,

the ratio of the velocities of rain and man

Solution,

Now, according to the question, the diagram will be made of a right-angle triangle.

The angle opposite 90 degrees is the 30-degree angle.

So, we can clearly note that

Tanθ = v₂/v₁ where v₁ is the velocity of the rain and v₂ is the velocity of the man walking

Tan 30 = v₂/v₁

1/√3 = v₂/v₁

√3/1 = v₁/v₂

So, the ratio of the velocities of rain and man is √3 : 1