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?

Question

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? (A) 30° (B) 60° (C) 90° (D) 120°

Tardigrade Admin · Accepted Answer

The given situation can be shown in figure below,

As the rain makes an angle of

3 0^{\circ}

with the vertical. So, the angle made by it with the horizontal is

θ = 9 0^{\circ} - 3 0^{\circ} = 6 0^{\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

6 0^{\circ}

.

Q. Rain is falling at an angle of $3 0^{\circ}$ 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?

$3 0^{\circ}$

$6 0^{\circ}$

$9 0^{\circ}$

$12 0^{\circ}$

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

30∘

60∘

90∘

120∘

Q. Rain is falling at an angle of $3 0^{\circ}$ 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?

$3 0^{\circ}$

$6 0^{\circ}$

$9 0^{\circ}$

$12 0^{\circ}$