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Give the complete solution of the questions from 36 to 39

36. To a person going east in a car with a velocity of 25 km.p.h. a train appears to move towards north with a velocity of $25\sqrt{3}$ km.p.h. What is the actual velocity and direction of motion of the train ?

[Ans. 50 km.p.h. $30\xb0$ east of north ]

37. A ship A is travelling at 12 km.p.h. in still water in a direction due east. A man on it observe another ship B due north of him which appears to moving directly towards him at a speed of 15 km.p.h. Find the actual speed of B and its direction of motion.

$\left[Ans.19.21km.p.h.;38\xb040\text{'}westofnorth\right]$

38. A cyclist moves horizontally at 10 km.p.h. There is no wind and rain drops appear to him to fall at an angle of $10\xb0$ to the vertical. Find the speed of the rain drops. [Ans. 56.71 km.p.h.]

39. T a person going westward with a velocity of 6 km.p.h.rain appears to fall vertically downward with a velocity of 8 km.p.h. Find the speed of the rain drops.

$[Ans.10km.p.h.,36\xb0-52\text{'}westofSouth]$

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