Question

It rains vertically downwards with 6 M/s. A person rides a bicycle in east to west direction with 4 M/s. To protect himself from the rain the direction in which an umbrella is to be held is.​

Answer 1

Given:

It rains vertically downwards with 6 m/s. A person rides a bicycle in east to west direction with 4 m/s.

To find:

• Angle at which umbrella has to be kept in order to protect himself from the rain?

Calculation:

• First of all, look at the vector diagram.

Let the angle with vertical be $\alpha$:

$\tan( \alpha ) = \dfrac{4}{6}$

$\implies \tan( \alpha ) = \dfrac{2}{3}$

$\implies \tan( \alpha ) = 0.67$

$\implies \alpha = {33.82}^{ \circ}$

So, angle at which umbrella has to be kept is 33.82° with vertical axis.

Answer 2

Given:-

It rains vertically downwards with 6 m/s. A person rides a bicycle in east to west direction with 4 m/s.

To Find:-

• Angle at which umbrella has to be kept in order to protect himself from the rain?

Calculation:-

Let the angle with vertical be a:

tan(a)=4/6

⇒tan(a)=2/3

⇒tan(a)=0.67

⇒a= 33.82 degrees

So, angle at which umbrella has to be kept is 33.82° with vertical axis.

☆Hope it helps you☆