Answer
The snowflakes are falling with a speed of 1.5 m/s.
Work Step by Step
The horizontal speed $v_x$ of the snowflakes relative to the car is 12 m/s. We need to find the vertical speed of the snowflakes $v_y$.
The snowflakes are moving at an angle of $7^{\circ}$ (above the horizontal) relative to the car. Therefore,
$\frac{v_y}{v_x} = sin(7^{\circ})$
$v_y = (12 ~m/s)\times sin(7^{\circ}) = 1.5 ~m/s$
The snowflakes are falling with a speed of 1.5 m/s.