You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle e in radians is related to the linear height of the object h and to the distance d by 0= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 29.0 m behind you.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle e in radians
is related to the linear height of the object h and to the distance d by 8= h/d. Assume that you are driving a car and that
another car, 1.50 m high, is 29.0 m behind you.
OBJECTS IN MIRROR ARE
CLOSER THAN THEY APPEAR
GTarWorks,Inc AL s Hesvedt by Creatous Synd.cae
(a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is
the image of the car following you?
m
(b) What angle does the image subtend in your field of view?
rad
(c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude
1.90 m. How far from your eyes is the image of the car following you?
(d) What angle does the image subtend at your eyes?
rad
(e) Based on its angular size, how far away does the following car appear to be?
The Far Side" by Gary Larson © 1985 FarWorks, Inc. All Righto Reoerved. Used with pemission.
Transcribed Image Text:You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle e in radians is related to the linear height of the object h and to the distance d by 8= h/d. Assume that you are driving a car and that another car, 1.50 m high, is 29.0 m behind you. OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR GTarWorks,Inc AL s Hesvedt by Creatous Synd.cae (a) Suppose your car has a flat passenger-side rearview mirror, 1.55 m from your eyes. How far from your eyes is the image of the car following you? m (b) What angle does the image subtend in your field of view? rad (c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude 1.90 m. How far from your eyes is the image of the car following you? (d) What angle does the image subtend at your eyes? rad (e) Based on its angular size, how far away does the following car appear to be? The Far Side" by Gary Larson © 1985 FarWorks, Inc. All Righto Reoerved. Used with pemission.
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