Rain pouring down at an angle α with the vertical has a speed of 10m/s. A girl runs against the rain with the speed of 8m/s and sees that the rain makes an angle β with the vertical, then relation between α and β is
A
tanα=8+10sinβ10cosβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
tanβ=8+10sinα10cosα
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
tanα=tanβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
tanα=cotβ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is Btanβ=8+10sinα10cosα As per the question, let the condition be as shown in the figure
Given, speed of rain, Vr=10m/s speed of girl, Vg=8m/s From the figure we have tanβ=Vg+VrsinαVrcosα=8+10sinα10cosα