Question

A car travels due north at a speed of 55 km/h. The traces of rain on the side windows of the car make an angle of 60 degrees with respect to the horizontal. If the rain is falling vertically with respect to the Earth, what is the speed of the rain with respect to the Earth?

Answer 1

The speed of the rain is
`v_R = 95.3 km/hr`

Step-by-step explanation:

From the question we are told that

The initial speed and direction of the car is
`v = 55 \ k/hr\`

The angle made with the horizontal is
`\theta = 60^o`

The velocity of rain is
`v_R`

An illustrate of this question is shown on the first uploaded image

From the diagram we see that

`tan \theta = (v_R)/(v )`

=>
`v_R = v * tan \theta`

substituting values

`v_R = 55 * tan (60)`

`v_R = 95.3 km/hr`