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A helicopter flies 25 km north, 5 km east, then 5 km S, then 15 km W. What is the resultant displacement and direction of the helicopter? Solve using graphical or mathematical methods. Be sure to either show work or explain your graphical methods.

User Mangokun
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2 Answers

3 votes

Answer:

Step-by-step explanation:

D = Xf - X

D = 15km West - 25km North

D = -10km West

User Adam Maass
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2 votes

Answer:

Step-by-step explanation:

Plotting the original location of the helicopter before it flies 25 km north, it would be at the origin, (0,0) then after it flies north, the y vertex gains 25 points, so it would be (0,25)

After it flies east, the x coordinate gains 5 points, so it would now be (5,25)

After it flies south, the y coordinate loses or is subtracted by 5 points. so it would now be (5,20)

After flying west, the x coordinate loses 15 points. So the final vertex would be at (-10,20)

East = Right

West = Left

South= Down

North = Up

I used mainly mathematical methods by adding and subtracting the x and y coordinate values, but this could be graphed easily since I gave the coordinates just incase!

Hope this helps!

User Adeel Anwar
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3.9k points