Rain appears to be falling at an angle of 37° with vertical to the driver of a car moving with a velocity of 7 m/sec. When he increases the velocity of the car to 25 m/sec, the rain again appears to fall at an angle 37° with vertical. If the actual velocity of rain relative to ground is 4n m/s then find n.
Text Solution
Verified by ExpertsCHECK THE SOLUTION
(5)
Sol. Let v = actual velocity of rain and θ = its angle with vertical :
In fig.
v sin θ = 7 + v cos θ . tan 37 0 = 7 + 
v cos θ
⇒ 4 v sin θ – 3 v cos θ = 28 ..........................
In fig.
25 = v sin θ + v cos θ . tan 37 0 = v sin θ + 
v cos θ
⇒ 4 v sin θ + 3 v cos θ = 100 .........................
Solving and (2 )
v = 20m/s and θ = 53 0
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems