It is raining vertically with a velocity of 25ms−1. A woman rides a bicycle with a speed of 10ms−1 in north to south direction. What is the direction (angle with vertical) in which she should hold her umbrella to save herself from the rain?
A
tan−1(0.4)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
tan−1(1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
tan−1(√3)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
tan−1(2.6)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Atan−1(0.4) Here, vR=25ms−1,vW=10ms−1 ∴ Velocity of rain w.r.t woman, −−→vRW=−→vR−−→vW Let −−→vRW makes an angle θ with vertical then, tanθ=vWvR=1025=0.4
She should hold her umbrella at an angle of θ=tan−1(0.4) with vertical.