66km at 30.25 degrees above the horizon
C
b
Displacement is 49m at 7.43 degrees East of North (assuming North for downfield)
8m
3.5m
5m
C
A
B
a c b
D
C = 90 E = 180 -- D = 35
D = 90 + 55 = 145 F = 180 -- E -- C = 55
3.5/sin90 = f/sin55 3.5/sin90 = e/sin35
3.5 x sin55 = f 3.5 x sin35 = e f = 2.87 e = 2.01
b = f + 8 = 10.87 a = e + 5 = 7.01
c2 = 10.872 + 7.012
c2 = 167.297
c = 12.93 = magnitude
12.93/sin90 = 7.01/sinA
12.93 x sinA = 7.01
sinA = 7.01/12.93 = .54
A = 32.8 = direction
Displacement is 12.93 meters 32.8 degrees East of North
E
F
f e
60 km
c
C
A
B
D = 30 E = 60
F = 90 -- D = 60 C = 180 -- E -- G
G = 180 -- 90 -- F = 30 C = 180 -- 60 -- 30 = 90
c2 = 602 + 1552
c2 = 27625
c = 166.201 = magnitude
166.201/sin90 = 155/sinA
166.201 x sinA = 155
sinA = 155/166.201 = .933
A = 68.84 = direction
Displacement is 166.201 km at 68.84 degrees West of North
D
E
F
G
5m/s
3m/s c2 = 32 + 52 5.83/sin90 = 3/sinA
c2 = 9 + 25 = 34 5.83 x sinA = 3
c = 5.83 = magnitude sinA = 3/5.83
sinA = .514
A = 30.97 = direction
Displacement is 5.83 meters/second at 30.97 degrees downstream of perpendicularity with the flow of the river
A
c
1m/s
6m/s c
A
c2 = 12 + 62 6.08/sin90 = 6/sinA
c2 = 1 + 36 = 37 6.08 x sinA…
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