3. If
the experiments were repeated after pounding the stick farther into the ground
so that only 0.5 m was exposed, how would this affect the shadow lengths?
Passage II
The
Sun's path from sunrise to sunset varies with the time of year. A student
performed the following experiments on three clear, sunny days at three- or
four-month intervals throughout the course of a year to study the path of the
Sun through the sky.
Experiment 1
At
a chosen Northern Hemisphere location, the student placed a stick vertically
into the ground so that 1 meter of its length was left above ground. The
student knew that the length of the shadow was related to the height of the Sun
above the horizon and that the shadow would point
away from the
direction of the Sun. The length in meters (m) and direction of the shadow cast
by the stick were measured one hour after sunrise (Shadow A), at mid-morning
(B), at noon (C), at mid-afternoon (D), and one hour before sunset (E) on each
of the three days. The direction of each shadow was determined by placing a
magnetic compass at the base of the stick and aligning the north arrow with the
north mark on the compass. The direction of each shadow was then determined by
a comparison with the compass face markings. The results are recorded in
Table 1.
Table 1
|
Shadow
|
Day 1
|
Day 2
|
Day 3
|
Length
(m)
|
Shadow
direction
|
Length
(m)
|
Shadow
direction
|
Length
(m)
|
Shadow
direction
|
A
|
5.0
|
SW
|
8.6
|
NW
|
6.8
|
W
|
B
|
1.2
|
W
|
2.9
|
NNW
|
1.7
|
NW
|
C
|
0.3
|
N
|
2.3
|
N
|
0.9
|
N
|
D
|
1.2
|
E
|
3.0
|
NNE
|
1.8
|
NE
|
E
|
5.0
|
SE
|
8.6
|
NE
|
6.9
|
E
|
Experiment
2
The
following year, the student repeated Experiment 1 at a chosen location in the
Southern Hemisphere. The results are in Table 2.
|
Table 2
|
Shadow
|
Day 1
|
Day 2
|
Day 3
|
Length
(m)
|
Shadow
direction
|
Length
(m)
|
Shadow
direction
|
Length
(m)
|
Shadow
direction
|
A
|
9.0
|
SW
|
5.0
|
NW
|
6.9
|
W
|
B
|
3.2
|
SSW
|
1.1
|
W
|
1.8
|
SW
|
C
|
2.5
|
S
|
0.3
|
S
|
1.0
|
S
|
D
|
3.2
|
SSE
|
1.1
|
E
|
1.8
|
SE
|
E
|
9.1
|
SE
|
5.0
|
NE
|
6.9
|
E
|