# 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. $30°$ 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.                                               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 $10°$ 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.

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