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1. A helicopter travels directly from its base to a ship at anchor located some

ID: 1686923 • Letter: 1

Question

1. A helicopter travels directly from its base to a ship at anchor located some distance away. Using a 2-dimensional coordinate system, with the base at the origin, the ship has coordinates (x,y)=(91,66), in km. On the return trip, traffic control forces the helicopter to fly first to 'B', located at (x,y)=(64,21) km and then to its base. Calculate the distance from the helicopter base to the ship.
______________
2. Calculate the distance from the ship to location 'B' ___________
3. Calculate how much farther the helicopter travels on the return trip.__________

Explanation / Answer

given data: Base = (0,0)
Ship = (89.0,68.0)
B = (64.0,18.0) (a)
Base to ship: sqrt((89-0)^2+(68-0)^2)= 112 km (b) Ship to B: sqrt((64-89)^2+(18-68)^2) = 55.90 km