1) A plane flies 120km due north, and then heads due east for 80km. How far is the plane from its starting point?
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Answer:
40√13km
Step-by-step explanation:
total displacement = √(120²+80²) = 40√13km
and tan∅ = 120/80 = 3/2
or ∅ = tan^(-1)[3/2]
hence the aeroplane is at a distance of 40√13km from its initial position in a direction of tan^(-1)[3/2] North of East
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