a cyclist is going on a road along the lake shore towards East at a speed of 10 km/h. In
what direction and with what speed would the man appear to swim to the cyclist.
A man is swimming in a lake in a direction of 30° East of North with a speed of 5 km/h and
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Explanation:
Refer IMAGE 01
∣V
c
∣=10 km/hr
∣V
s
∣=5 km/hr
∴V
s
=
2
5
↑+
2
5
3
↑
V
c
=10↑
∴V
s
c=V
s
−V
c
=(
2
5
↑+
2
5
3
↑)−10↑=−
2
15
↑+
2
5
3
↑
∣V
s
c∣=
4
225
+
4
75
=5
3
km/hr
Refer IMAGE 02
tanα=
5
3
/2
15/2
=
3
α=60
o
∴60
o
west of north
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