A stationary person observes that rain is falling vertically down at 30 kmh-1. A cyclist is moving up on an inclined plane making an angle 30o with horizontal at 10 kmh-1. In which direction should the cyclist hold his umbrella to prevent himself from the rain?
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
At an angle tan−1335 with inclined plane
b
At an angle tan−1335 with horizontal
c
At an angle tan−137with inclined plane
d
At an angle tan−137 with vertical
answer is A.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
v→r=−30j^,v→m=1032i^+102j^tanθ=5335=37⇒θ=tan−137 with vertical Angle of vr/m with inclined plane is 60∘−θ=βtanβ=tan60∘−θ =tan60∘−tanθ1+tan60∘tanθ =3−3/71+3⋅3/7=335⇒ β=tan−1335