Question

Rain is falling vertically with a speed of 35 m s - 1.wind starts blowing after sometimes with a speed of 12 m s -1 in east to west direction in which direction should a boy waiting at a bus stop hold his umbrella ​

Answer 1

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Rain is falling vertically with a speed of 35 m s - 1.wind starts blowing after sometimes with a speed of 12 m s -1 in east to west direction in which direction should a boy waiting at a bus stop hold his umbrella

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$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

Given:-

• Rain is falling vertically downward with a speed of 35 m/s.
• Wind start blowing with speed of 12 m/s from East to West direction.

To Find:-

• The angle at which the umbrella should be hold by the boy so that he won't receive any rain.

Concept used:-

• The boy has to hold the umbrella in direction of velocity of rain w.r.t velocity of the wind.

Solution:-

Let the angle be A.

So, tanA = Velocity of wind/velocity of rain

tanA = 12/35

tanA = tan(19.6°)

Comparing, we get

A = 19.6° .

So, the boy should hold the umbrella at an angle of 19.6° from vertical toward east.

So, the boy should hold the umbrella at an angle of 19.6° from vertical toward east.So, the boy should hold the umbrella at an angle of 19.6° from vertical toward east.[Wind is coming from East to West]

$\rule{200}3$

${\blue{\bold{Hope\: it \:helps}}}$

Answer 2

$\rule{200}3$

$\color{red}\huge{\underline{\underline{\mathfrak{Question:-}}}}$

Rain is falling vertically with a speed of 35 m s - 1.wind starts blowing after sometimes with a speed of 12 m s -1 in east to west direction in which direction should a boy waiting at a bus stop hold his umbrella

$\rule{200}3$

$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

Given:-

• Rain is falling vertically downward with a speed of 35 m/s.
• Wind start blowing with speed of 12 m/s from East to West direction.

To Find:-

• The angle at which the umbrella should be hold by the boy so that he won't receive any rain.

Concept used:-

• The boy has to hold the umbrella in direction of velocity of rain w.r.t velocity of the wind.

Solution:-

Let the angle be A.

So, tanA = Velocity of wind/velocity of rain

tanA = 12/35

tanA = tan(19.6°)

Comparing, we get

A = 19.6° .

So, the boy should hold the umbrella at an angle of 19.6° from vertical toward east.

So, the boy should hold the umbrella at an angle of 19.6° from vertical toward east.So, the boy should hold the umbrella at an angle of 19.6° from vertical toward east.[Wind is coming from East to West]

$\rule{200}3$

${\blue{\bold{Hope\: it \:helps}}}$