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 0 h/d. Assume that you are driving a car and that another car, 1.50 m high, is 22.0 m behind you. O d) What anal OBJECTS IN MARCR ARE. CLOSER THAN THEY APPEAR REG O (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 your field of view? rad (c) Suppose instead your car has a convex rearview mirror (see figures) with a radius of curvature of magnitude 1.70 m. How far from your eyes is the image of the car following you? m

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter2: Geometric Optics And Image Formation
Section: Chapter Questions
Problem 37P: An object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured...
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You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 0 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 22.0 m behind you.
KTO
&
$3
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
0 1900 Per Works Inc
OBJECTS IN MIRROR ARE
CLOSER THAN THEY APPEAR
vestest by Creators Syndicate
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 1.70 m. How far from your eyes is the image of the car following you?
Transcribed Image Text:You unconsciously estimate the distance to an object from the angle it subtends in your field of view. This angle 0 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 22.0 m behind you. KTO & $3 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 0 1900 Per Works Inc OBJECTS IN MIRROR ARE CLOSER THAN THEY APPEAR vestest by Creators Syndicate 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 1.70 m. How far from your eyes is the image of the car following you?
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