Question

To a cyclist riding west at 20 kg/hr, the rain appears to meet him at an angle of 45° with the vertical. When he rides at 12 km/hr, the rain meets him at an angle of 19°48’ with the vertical. What is the actual direction of the rain?

Answer 1

R is speed of rain

r is angle of rain to vertical

horizontal rain we see = Rsinr+bike speed

vertical rain we see = R cos r

case 1

hor = R sin r + 20

ver = R cos r

tan 45 = (R sin r +20) /Rcos r

case 2

tan 19deg48 min = (R sinr +12)/R cos r

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