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  4. Rain is falling at an angle of 30° from the vertical due to the wind with a speed of 40 m / s. A car is travelling horizontally in the direction opposite to the wind, at a speed of 40 m / s. At what angle from the vertical will it experience the rain falling from?

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Q. Rain is falling at an angle of $30^{\circ}$ from the vertical due to the wind with a speed of $40\, m / s$. A car is travelling horizontally in the direction opposite to the wind, at a speed of $40\, m / s$. At what angle from the vertical will it experience the rain falling from?Physics Question Image

TS EAMCET 2019

Solution:

The given situation can be shown in figure below,
image
As the rain makes an angle of $30^{\circ}$ with the vertical. So, the angle made by it with the horizontal is
$\theta=90^{\circ}-30^{\circ}=60^{\circ}$
And as the car is moving in horizontal direction with the same speed as that of the rain. So, the rain appears to him falling at an angle of $60^{\circ}$.