Answer:
Length of rear-view mirror = 0.3462 m
Step-by-step explanation:
- As per the attachment first thing we need to calculate is the angle of incidence of light "α" reflected from the rear view mirror to the eyes of the driver.
- As per the diagram the following calculations are:
- α = arctan(half length L of the rear view window / distance between the focus point and the centre of the rear view window).
- half length L of the rear view window = 1.5/2 = 0.75 m
- Distance between the focus point and the center of the rear view window = 0.6+2.0 = 2.6 m
hence,
- α = arctan(0.75/2.6)
- α = 16.091 degrees
Now the we will use α to calculate length of the rear view mirror.
length of the rear view mirror = 2 x 0.6 x tan(α)
length of the rear view mirror = 2 x 0.6 x tan(16.091)
length of the rear view mirror = 0.3462 m
