A man walks 1km due east and then 1km due north. His displacement is

Jamb 1978

A man walks 1km due east and then 1km due north. His displacement is 

A. 1km N15°E

B. 1km N30°E

C. √2km N45°E

D. √2km N60°E

E. 2km N75°E

ANSWER: Option C

EXPLANATION: His displacement is the shortest distance from his starting point, so, the hypotenuse represent his displacement. Using the four cardinal point diagram, mark 1km due east on the diagram and the from that point, 1km due North, and then join the start and the end point together to form a right-angled triangle! Then solve using Pythagoras theorem or triangle method to find your displacement and using SOHCAHTOA, you can find the angle of displacement or the direction.

Pythagoras theorem

Hyp² = opp² + adj²


Sin ∅ = Opp/hyp

Cos ∅ = adj/hyp

Tan ∅ = opp/adj

Using any of those, you will have the same answer for your direction.


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About Teezab 1349 Articles
His Name is Tiamiyu Abdulbazeet Olawale. He is a student at the University of Ilorin studying Electrical and Electronics Engineering. He likes to give the latest updates about Nigeria and international institutions as he aims at helping people to lay their hands on the right information.

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