A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 × 10 2 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is θ = 35.0° (Fig. P1.53). How wide is the river? Figure P1.53
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 × 10 2 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is θ = 35.0° (Fig. P1.53). How wide is the river? Figure P1.53
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 × 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is θ = 35.0° (Fig. P1.53). How wide is the river?
71. A commuter airplane starts from an airport and takes the
route shown in Figure P1.71. The plane first flies to city A,
located 175 km away in a direction 30.0° north of east. Next,
it flies for 150. km 20.0° west of north, to city B. Finally, the
plane flies 190. km due west, to city C. Find the location of
city C relative to the location of the starting point.
t
1
y (km)
250 E
N
C
W
E
200
20.0°
150
R
100
110°
a
50
30.0°
x (km)
50 100 150 200
Figure P1.71
1.28..For the vectorsAandBin Fig. E1.28, use a scaledrawing to find the magnitudeand direction of
71. A commuter airplane starts from an airport and takes the
route shown in Figure P1.71. The plane first flies to city A,
located 175 km away in a direction 30.0° north of east. Next,
it flies for 150. km 20.0° west of north, to city B. Finally, the
plane flies 190. km due west, to city C. Find the location of
city Crelative to the location of the starting point.
y (km)
250
200
Figure P1.70
150
100
50
0
č
B
b
20.0°
1
na
Figure P1.71
S
110°
30.00
50 100 150 200
E
x (km)
dditional Problems
2. (a) Find a conversion factor to convert from miles per hour
to kilometers per hour. (b) For a while, federal law mandated
that the maximum highway speed would be 55 mi/h. Use the
conversion factor from part (a) to find the speed in kilometers
per hour. (c) The maximum highway speed has been raised to
65 mi/h in some places. In kilome
her hour how much of
Chapter 1 Solutions
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