when a man is standing, rain drops appears to him falling at 60 degree from the horizontal from his front side. when he is travelling at 5 kmph on a horizontal road they appear to him falling at 30 degree from the horizontal from his front side. what is the actual speed of the rain ?
Answers
Answered by
53
Given in the question :-
Here | | = 5 km/hr.
u = ?
θ = 60°
φ = 30°
We know, by the formula
tanφ = usin60° / (v + u cos 60°)
tan 30° = ( u × √3/2 ) / ( v + u/2 )
3/2 u = 5 + u/2
3/2 u - u/2 = 5
u = 5 km/hr
The actual speed of the rain is 5 km/hr
Hope it helps .
Attachments:
shivamduas:
Thank you so much sir
Answered by
13
tanφ = usin60° / (v + u cos 60°)
tan 30° = ( u × √3/2 ) / ( v + u/2 )
3/2 u = 5 + u/2
3/2 u - u/2 = 5
u = 5 km/hr
Similar questions
Math,
7 months ago
Math,
7 months ago
Math,
7 months ago
Hindi,
1 year ago
Social Sciences,
1 year ago