Explanation:
It is given that,
Speed of the car, [tex]v_c= 55\ mi/h = 24.58\ m/s[/tex]
The drops makes an angle of 60 degrees with the vertical. The attached figure shows the whole description. [tex]v_r[/tex] is the speed with which the drops are falling.
Using trigonometry in the attached figure,
[tex]tan\ 60=\dfrac{v_c}{v_r}[/tex]
[tex]v_r=\dfrac{v_c}{tan\ 60}[/tex]
[tex]v_r=\dfrac{24.58}{tan\ 60}[/tex]
[tex]v_r=14.19\ m/s[/tex]
So, the speed with which the drops are falling is 14.19 m/s. Hence, this is the required solution.