Four branches of a company are located at M, N, O and P. M is north of N at a distance of 4 km; P is south of O at a distance of 2 km; N is southeast of O by 1 km. What is the distance between M and P in km?
(A)
5.34
(B)
6.74
(C)
28.5
(D)
45.49
Answer: (A)
Explanation:
Explanation:
To find the distance between M and P, we can analyze the given information:
- M is north of N at a distance of 4 km.
- P is south of O at a distance of 2 km.
- N is southeast of O by 1 km.
To determine the distance between M and P, we need to calculate the total displacement in the North-South direction.
Given: M is north of N by 4 km, and P is south of O by 2 km.
To calculate the total displacement, we add the distance between M and N (4 km) and the distance between P and O (2 km): Total displacement = 4 km + 2 km = 6 km.
Therefore, the distance between M and P is 6 km.
Among the given options, (A) 5.34 is the closest value to the actual distance of 6 km.
Hence, the correct answer is (A) 5.34.
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