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# Stacey is standing in a field. She walks 11 meters west, 30 meters north, 4 meters west and finally 22 meters south. How many meters is she

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Stacey is standing in a field. She walks 11 meters west, 30 meters north, 4 meters west and finally 22 meters south. How many meters is she from her starting point?

Guest Sep 12, 2018
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Let's say Stacey starts at point (0,0)

She walks 11 meters west to (-11,0)

She walks 30 meters north to (-11,30)

She walks 4 meters west to (-15, 30)

Finally she walks 22 meters south to (-15, 8)

she is

$$d = \sqrt{(-15)^2 + (8)^2} = \sqrt{225 + 64} = \sqrt{289} = 17 \text{ meters from her starting point}$$

Rom  Sep 12, 2018