Answer:
(3) 53°
Explanation:
We want to measure the angle that the rains form with the vertical wind shield, so we have to measure the angle relative to the vertical. This means that we can write the following equation
[tex]tan \theta = \frac{v_x}{v_y}[/tex]
where
[tex]v_y = 30 km/h[/tex] is the speed of the rain, which travels vertically
[tex]v_x = 40 km/h[/tex] is the speed of the bus, which travels horizontally
Substituting, we find
[tex]\theta=tan^{-1}(\frac{40}{30})=53^{\circ}[/tex]