Question

Here are certain positions of a particle which can
move in a horizontal plane. Two of them denote
identical positions. Identify these positions.
(a) 5 m, 30° north of east
(b) 5 m, 30° east of north
(c) 5 m, 60° south of west
(d) 5 m, 60° east of north​

Answer 1

Answer:

Saying 30 degrees NofE is the same thing as 60 degrees EofN - Since there are 90 degrees in between North and East, and

30

+

60

=

90

, these angles must be coterminal (they have the same endpoints), and since the length is the same (

5

m

), they must refer to the same position.

Answer 2

Answer:

A and D both.

Explanation:

Saying 30 degrees NofE is the same thing as 60 degrees EofN - Since there are 90 degrees in between North and East, and

30

+

60

=

90

, these angles must be coterminal (they have the same endpoints), and since the length is the same (

5

m

), they must refer to the same position.

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