Question

To a person running at a speed 5 km/hr rain appears to fall vertically. if the actual speed of rain is 10 km/h, then find the angle the actual speed of rain makes with vertical. ​

Answer 1

Given :-

Speed of man = Vm = 5 Km/h

Speed of rain = Vr = 10 Km/h

Vrm = Vr - Vm

|Vr| = √(Vrm)² + (Vm)²

|Vr²| = Vrm² + Vm²

100 = Vrm² + 25

Vrm = √75

Vrm = 5√3

Let the angle = Ø

tanØ = Vm/Vrm

tanØ = 5/5√3

Ø = tan-¹(1/√3)

Ø = tan-¹(1/√3)Ø = 30° Answer.....

Answer 2

Answer:

Let V be the vel.of the rain drop

The angle of resultant of the vel. of the man when he runs at 10 km/ h & the Vel of rain at 30° from the vertical is given

This will result in Vsine30°= 10

V= 20km/hour.at 30° from vertical.

Explanation:

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