Rain is falling vertically with a speed of 35m/s winds starts blowing after sometime with a speed of - Physics - Motion In A Plane

Question

Rain is falling vertically with a speed of 35m/s winds starts
blowing after sometime with a speed of 12m/s in east to west
direction In which direction In which direction should a boy
waiting at a bus stop hold his umbrella ? this question was
answered wrong by an expert i need d correct answer and explanaton
for this :(

Roopa jayasimha · Accepted Answer

Wind is blowing in the direction from east to west direction and
the direction of the rain is from east to west The resultant
direction of rain is to find the vector sum of both the
vectors

now, the resultant velocity is given
as

R = ((35)2 + (12)2)1/2

or

R = 37 m/s

the direction of this resultant will
be

tanÎ¸ = 12/35

or

Î¸ = 19 degrees

so,

the boy should hold his umbrella at an angle
of 19 degree with the vertical or the direction of
rainfall