Asked by Abdulazeez
An aircraft travelled from calabar to kano as follows; it flew first to ilorin covering a distance of 300km, 30degree West or North , and then flew 400km, 60degree east of north to kano. what is the resultant displacement?
Answers
Answered by
Reiny
30° west of north = 120°
60° east of north = 30°
using vectors:
R = (300cos120, 300sin120) + (400cos30, 400 sin30)
= (-150, 150√3) + (200√3 , 200) = (200√3-150,150√3+200)
= (196.41, 459.81)
maginitude = √(196.41^2 + 459.81^2) = 500
angle = tan^-1(459.81/196.41) = appr 66.87°
or
make a sketch and use the cosine law:
R^2 = 300^2 + 400^2 - 2(300)(400)cos90°
= 500
leaving it up to you to find the angle using the sine law in the triangle, it should be the same as my first solution.
60° east of north = 30°
using vectors:
R = (300cos120, 300sin120) + (400cos30, 400 sin30)
= (-150, 150√3) + (200√3 , 200) = (200√3-150,150√3+200)
= (196.41, 459.81)
maginitude = √(196.41^2 + 459.81^2) = 500
angle = tan^-1(459.81/196.41) = appr 66.87°
or
make a sketch and use the cosine law:
R^2 = 300^2 + 400^2 - 2(300)(400)cos90°
= 500
leaving it up to you to find the angle using the sine law in the triangle, it should be the same as my first solution.
Answered by
Elijah
Pls show a diagrammatical representation
Answered by
Jennifer
It's very easy to understand.
Answered by
Melody
Must the two degrees be added together??
Answered by
Rhikky
An aircraft travelled from calabar to kano as follows; it flew first to ilorin covering a distance of 300km, 300 West or North , and then flew 400km, 600 east of north to kano. what is the resultant displacement?
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