Question

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​

Answer 1

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