Chapter 1: Orienting Yourself: The Use of Coordinates

Exercise

Question

Question: 14 (ii)

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A city has two main roads which cross each other at the centre of the city. These two roads are along the North-South (N-S) direction and East-West (E-W) direction. All the other streets of the city run parallel to these roads and are 200 m apart. There are 10 streets in each direction.

(ii) There are street intersections in the model. Each street intersection is formed by two streets - one running in the N-S direction and another in the E-W direction. Each street intersection is referred to in the following manner: If the second street running in the N-S direction and 5th street in the E-W direction meet at some crossing, then we call this street intersection (2, 5). Using this convention, find:

(a) how many street intersections can be referred to as (4, 3).

(b) how many street intersections can be referred to as (3, 4).

Answer

1
Identify which N-S and E-W streets intersect to form the street intersection referred to as (4, 3).
Answer: Only one street intersection can be referred to as (4, 3).
Reason: The 4th N-S street and the 3rd E-W street intersect at exactly one point. Therefore, this intersection is referred to as (4, 3).
Coordinate model of a city showing the street intersections referred to as (4, 3) and (3, 4).
City model showing the street intersections (4, 3) and (3, 4).
2
Identify which N-S and E-W streets intersect to form the street intersection referred to as (3, 4).
Answer: Only one street intersection can be referred to as (3, 4).
Reason: The 3rd N-S street and the 4th E-W street intersect at exactly one point. Therefore, this intersection is referred to as (3, 4).
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