The writing on the passenger-side minor of your car says \"Warning\' Objects are
ID: 1519748 • Letter: T
Question
The writing on the passenger-side minor of your car says "Warning' Objects are closer than they appear"There is no such warning on the driver's mirror Consider a typical convex passenger-side minor with a local length of-80 cm A 1 5 m tall cyclist on a bicycle is 28 m from the mirror You are 1 4 m from the mirror, and suppose, for simplicity. that the mirror, you. and the cyclist all lie along a line What is the angular size of the image of the cyclist? Express your answer using two significant figures What would the angular she of the cyclist's image have been if the mirror Express your answer using two significant figures.Explanation / Answer
given convex lens , focal length f =-80 cm,object distance ( cyclist distance) = 28 m
image idstnce is . 1/s + 1/s' = 1/f ==> 1/s' = -1/0.80-1/28 ==> s' = -0.778 m ( behind the mirror)
that is 1.4+0.77= 2.17 m fom the imagae
the ratio of image height ot objet hieght = image distance to object distance
y'/y = s'/s
y' = y*s'/s
= 1.5*0.778/28
= 0.0416786 m
angular size of the image of the cyclist is theta = 2* arc tan (1/2 y'/d)=2*arc tan(0.0416786/2.17)
theta = 2.20 degrees
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