Rain is falling vertically. To a man walking with a speed of `3km/h`,it appears to fall at `30^(@)` with the vertical. He increases his speed. Now it appears to him to fall at `60^(@)` with the vertical. What is his new speed?

To a man walking at the rate of 3 km//h the rain appear to fall vertically downwards. When he increases his speed 6 km//h it appears to meet him at an angle of 45^@ with vertically. Find the speed of rain.

A standing man observes rain falling with the velocity of 20 m s^-1 at an angle of 30^@ with the vertical. (a) Find the velocity with which the man should move so that rain appears to fall vertically to him. Now if he further increases his speed, rain again appears to fall at 30^@ with the vertical. Find his new velocity.

To a man going with a speed of 5 ms^-1 , rain appears to be falling vertically. If the actual speed of rain is 10 m s^-1 , then what is the angle made by rain with the vertical ?

To a man walking at the rate of 4 km/h the rain appears to fall vertically. When he increases his speed 8 km/h it appears to meet him at an angle of 45 with vertical. Find the angle made by the velocity of rain with the vertical and its value.

A man walking with a speed of 3 km/h finds the rain drops falling vertically downwards. When the man increases his speed to 6km/h he find that the rain drops are falling making an angle of 30^(@) with the vertical . Find the speed of the rain drops ( in km/h)

A girl riding a bicycle with a speed of 5 m//s to wards North direction, observes rain falling vertically down. If she increases her speed to 10 m//s , rain appeared to meet her at 45^@ to the vertical . What is the speed of the rain ?

A man running on the horizontal road at 8 km h^(-1) find the rain appears to be falling vertically. He incresases his speed to 12 km h^(-1) and find that the drops make angle 30^2 with the vertical. Find the speed and direction of the rain with respedt to the road.

A man running on the horizontal road at 8 km h^(-1) find the rain appears to be falling vertically. He incresases his speed to 12 km h^(-1) and find that the drops make angle 30^2 with the vertical. Fin dthe speed and direction of the rain with respedt to the road.

Rain appears to fall vertically to a man walking at 3kmh^(-1) , but when he changes his speed to double, the rain appears to fall at 45^@ with vertical. Study the following statements and find which of them are correct. i. Velocity of rain is 2 (sqrt3) kmh^(-1) . ii. The angle of fall of rain (with vertical) is theta = tan^(-1)(1/(sqrt2)). iii. The angle of fall of rain (with vertical) is theta = sin^(-1) (1/(sqrt2)) . iv. Velocity of rain is 3(sqrt2)kmh^(-1) .