Question

At take off, a plane flies 100 km north before turning to fly 200 km east. How far is its destination from where the plane took off?

Question 3 options:

173 km


300 km


224 km


200 km

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Question 4 (1 point)
A runner traveled 15 kilometers north then backtracked 11 kilometers south before stopping. His resultant displacement was






Question 4 options:

26 km south


4 km south


26 km north


4 km north

Answer 1

Answer

224 Km

4 Km

Explanation

Part 1

The plane flies 100 Km north and then 200 Km east. This makes a 90° turn. To get the distance taken by the plane we get the hypotenuse.

c² = a² + b²

c² = 100² + 200²

   = 50,000

c = √50,000

    = 223.606 Km

The answer to the nearest whole number is 224 Km

Part 2

If the runner run 15 Km north then 11 Km south, the resultant distance would be,

15 - 11 = 4 Km