You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 8 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 21.0 m behind you. 3 OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR (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 convex rearview mirror (see figures) with a radius of curvature of magnitude 1.80 m. How far from your eyes is the image of the car following you? Jm

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter35: Image Fonnation
Section: Chapter Questions
Problem 15P
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You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 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 21.0 m behind you.
870
&
❀
६
OBJECTS IN MIRROR ARE
CLOSER THAN THEY APPEAR
The Far Side by Gary Larson 1985 FarWorks, Inc. All Rights Reserved. Used with permission.
(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 1.80 m. How far from your eyes is the image of the car following you?
m
(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?
m
Transcribed Image Text:You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 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 21.0 m behind you. 870 & ❀ ६ OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR The Far Side by Gary Larson 1985 FarWorks, Inc. All Rights Reserved. Used with permission. (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 1.80 m. How far from your eyes is the image of the car following you? m (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? m
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