Read the given information carefully and answer the questions given beside: (A…
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Read the given information carefully and answer the questions given beside: (A set of 2 questions)
Point M is 5 meters towards the North of Point L.
Point P is 10 meters towards the East of point M.
Point N is 6 meters towards the East of point L.
Point O is 11 meters towards the West of point N.
Point A is 6m north of point B. Point C is 9m west of point B. Point R is 7m east of point S which is 12m south of point M. Point N is 2m north of point M. If point S is 1m east of point B then, what is the distance between Point A and Point R?
- A.
6 m
- B.
8 m
- C.
10 m
- D.
12 m
Attempted by 2 students.
Show answer & explanation
Correct answer: C
Answer: 10 m
Method: Place point B at the origin (0,0) to find coordinates easily.
Point A is 6 m north of B → A = (0, 6).
Point S is 1 m east of B → S = (1, 0).
Point R is 7 m east of S → R = (1 + 7, 0) = (8, 0).
Thus we use A = (0,6) and R = (8,0) to compute the distance.
Calculation: (AR)^2 = (x_R - x_A)^2 + (y_R - y_A)^2 = (8 - 0)^2 + (0 - 6)^2 = 8^2 + (-6)^2 = 64 + 36 = 100.
Therefore AR = sqrt(100) = 10 m. The distance between Point A and Point R is 10 m.