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.
                                                                                                         $[A n s . 19.21 k m . p . h .; 38 ° 40' w e s t o f n o r t h]$

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.
                                                                                     $[A n s . 10 k m . p . h ., 36 ° - 52' w e s t o f S o u t h]$

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