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 22.0 m behind you. ✔ m (b) What angle does the image subtend in your field view? 0.064 ✔ rad & ☆ * (d) What angle does the image subtend at your eyes? X 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? 23.6 (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? 2.37 ✔m Far Side by Gary Larson O Your response differs from the correct answer by more than 10%. Double check your calculations. rad (e) Based on its angular size, how far away does the following car appear to be? X Your response differs from the correct answer by more than 10%. Double check your calculations, m
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 22.0 m behind you. ✔ m (b) What angle does the image subtend in your field view? 0.064 ✔ rad & ☆ * (d) What angle does the image subtend at your eyes? X 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? 23.6 (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? 2.37 ✔m Far Side by Gary Larson O Your response differs from the correct answer by more than 10%. Double check your calculations. rad (e) Based on its angular size, how far away does the following car appear to be? X Your response differs from the correct answer by more than 10%. Double check your calculations, m
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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 22.0 m behind you.
☆❀
3₂
m
(d) What angle does the image subtend at your eyes?
X
OBJECTS IN MIRROR ARE
CLOSER THAN THEY APPEAR
1985 ParWorks, Inc. All Rights Reservedest by Creators Syndicals
(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?
23.6
m
(b) What angle does the image subtend in your field of view?
0.064
rad
The Far Side by Gary Larson Ⓒ 1985 FarWorks, Inc. All Rights Reserved. Used with permission.
(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?
2.37
Your response differs from the correct answer by more than 10%. Double check your calculations. rad
(e) Based on its angular size, how far away does the following car appear to be?
X
Your response differs from the correct answer by more than 10%. Double check your calculations. m
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