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

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

At an angle tan−1⁡335 with inclined plane

At an angle tan−1⁡335 with horizontal

At an angle tan−1⁡37with inclined plane

At an angle tan−1⁡37 with vertical

answer is A.

(Unlock A.I Detailed Solution for FREE)

Detailed Solution

v→r=−30j^,v→m=1032i^+102j^tan⁡θ=5335=37⇒θ=tan−1⁡37 with vertical Angle of vr/m with inclined plane is 60∘−θ=βtan⁡β=tan⁡60∘−θ =tan⁡60∘−tan⁡θ1+tan⁡60∘tan⁡θ =3−3/71+3⋅3/7=335⇒ β=tan−1⁡335

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE