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Relative Distance Between Points: Worksheet 10 - Expert Practice Relative Distance Between Points EXPERT

Ready to master Relative Distance Between Points? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve relative distance between points reasoning tricks, handle fast relative distance between points solving, and perfect relative distance between points mastery with our step-by-step solutions.

📝 Worksheet 10 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Relative Distance Between Points
Worksheet 10 of 10 (100% complete)

Question 1

Two persons A and B start from the same point. A walks 6 m South, then 8 m West, then 5 m West. B walks 12 m South, then 10 m South, then 14 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-13, -6)
2. B's final position: (-14, -22)
3. Distance = √[(-13--14)² + (-6--22)²] = √[1² + 16²] = 16 m

Question 2

Two persons A and B start from the same point. A walks 6 m South, then 20 m South. B walks 8 m West, then 9 m South. What is the distance between them?
Step-by-step:
1. A's final position: (0, -26)
2. B's final position: (-8, -9)
3. Distance = √[(0--8)² + (-26--9)²] = √[8² + -17²] = 19 m

Question 3

Two persons A and B start from the same point. A walks 20 m South, then 20 m North, then 13 m West. B walks 14 m North, then 6 m South, then 10 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-13, 0)
2. B's final position: (10, 8)
3. Distance = √[(-13-10)² + (0-8)²] = √[-23² + -8²] = 24 m

Question 4

Two persons A and B start from the same point. A walks 15 m South, then 9 m West. B walks 5 m South, then 14 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-9, -15)
2. B's final position: (14, -5)
3. Distance = √[(-9-14)² + (-15--5)²] = √[-23² + -10²] = 25 m

Question 5

Two persons A and B start from the same point. A walks 17 m North, then 6 m East, then 16 m South. B walks 16 m West, then 17 m North. What is the distance between them?
Step-by-step:
1. A's final position: (6, 1)
2. B's final position: (-16, 17)
3. Distance = √[(6--16)² + (1-17)²] = √[22² + -16²] = 27 m

Question 6

Two persons A and B start from the same point. A walks 12 m South, then 11 m South, then 12 m West. B walks 12 m South, then 15 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-12, -23)
2. B's final position: (15, -12)
3. Distance = √[(-12-15)² + (-23--12)²] = √[-27² + -11²] = 29 m

Question 7

Two persons A and B start from the same point. A walks 17 m East, then 12 m North, then 18 m East. B walks 11 m West, then 10 m West. What is the distance between them?
Step-by-step:
1. A's final position: (35, 12)
2. B's final position: (-21, 0)
3. Distance = √[(35--21)² + (12-0)²] = √[56² + 12²] = 57 m

Question 8

Two persons A and B start from the same point. A walks 17 m North, then 20 m North. B walks 12 m West, then 17 m West, then 13 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, 37)
2. B's final position: (-16, 0)
3. Distance = √[(0--16)² + (37-0)²] = √[16² + 37²] = 40 m

Question 9

Two persons A and B start from the same point. A walks 6 m West, then 20 m South, then 18 m East. B walks 9 m North, then 8 m East. What is the distance between them?
Step-by-step:
1. A's final position: (12, -20)
2. B's final position: (8, 9)
3. Distance = √[(12-8)² + (-20-9)²] = √[4² + -29²] = 29 m

Question 10

Two persons A and B start from the same point. A walks 10 m West, then 19 m West. B walks 20 m East, then 16 m East, then 10 m West. What is the distance between them?
Step-by-step:
1. A's final position: (-29, 0)
2. B's final position: (26, 0)
3. Distance = √[(-29-26)² + (0-0)²] = √[-55² + 0²] = 55 m

Question 11

Two persons A and B start from the same point. A walks 10 m West, then 7 m East, then 17 m South. B walks 5 m West, then 8 m South. What is the distance between them?
Step-by-step:
1. A's final position: (-3, -17)
2. B's final position: (-5, -8)
3. Distance = √[(-3--5)² + (-17--8)²] = √[2² + -9²] = 9 m

Question 12

Two persons A and B start from the same point. A walks 17 m West, then 11 m North, then 13 m South. B walks 11 m South, then 11 m North. What is the distance between them?
Step-by-step:
1. A's final position: (-17, -2)
2. B's final position: (0, 0)
3. Distance = √[(-17-0)² + (-2-0)²] = √[-17² + -2²] = 17 m

Question 13

Two persons A and B start from the same point. A walks 7 m East, then 20 m South, then 6 m North. B walks 12 m West, then 14 m North. What is the distance between them?
Step-by-step:
1. A's final position: (7, -14)
2. B's final position: (-12, 14)
3. Distance = √[(7--12)² + (-14-14)²] = √[19² + -28²] = 34 m

Question 14

Two persons A and B start from the same point. A walks 12 m South, then 8 m North. B walks 6 m West, then 16 m North, then 9 m West. What is the distance between them?
Step-by-step:
1. A's final position: (0, -4)
2. B's final position: (-15, 16)
3. Distance = √[(0--15)² + (-4-16)²] = √[15² + -20²] = 25 m

Question 15

Two persons A and B start from the same point. A walks 14 m East, then 19 m South. B walks 17 m West, then 14 m South, then 11 m East. What is the distance between them?
Step-by-step:
1. A's final position: (14, -19)
2. B's final position: (-6, -14)
3. Distance = √[(14--6)² + (-19--14)²] = √[20² + -5²] = 21 m

Question 16

Two persons A and B start from the same point. A walks 16 m West, then 8 m East, then 15 m West. B walks 10 m North, then 18 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-23, 0)
2. B's final position: (18, 10)
3. Distance = √[(-23-18)² + (0-10)²] = √[-41² + -10²] = 42 m

Question 17

Two persons A and B start from the same point. A walks 6 m South, then 8 m North, then 12 m North. B walks 17 m East, then 13 m North, then 14 m East. What is the distance between them?
Step-by-step:
1. A's final position: (0, 14)
2. B's final position: (31, 13)
3. Distance = √[(0-31)² + (14-13)²] = √[-31² + 1²] = 31 m

Question 18

Two persons A and B start from the same point. A walks 11 m West, then 20 m South, then 8 m South. B walks 12 m East, then 17 m South, then 20 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-11, -28)
2. B's final position: (32, -17)
3. Distance = √[(-11-32)² + (-28--17)²] = √[-43² + -11²] = 44 m

Question 19

Two persons A and B start from the same point. A walks 8 m North, then 11 m East, then 17 m East. B walks 8 m South, then 11 m East. What is the distance between them?
Step-by-step:
1. A's final position: (28, 8)
2. B's final position: (11, -8)
3. Distance = √[(28-11)² + (8--8)²] = √[17² + 16²] = 23 m

Question 20

Two persons A and B start from the same point. A walks 8 m West, then 16 m South. B walks 19 m South, then 14 m East. What is the distance between them?
Step-by-step:
1. A's final position: (-8, -16)
2. B's final position: (14, -19)
3. Distance = √[(-8-14)² + (-16--19)²] = √[-22² + 3²] = 22 m
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