A girl delivering newspapers covers her route by traveling 5.00 blocks west, 3.00 blocks north, and then 8.00 blocks east.- What is her final position relative to her starting location? (Enter the magnitude in blocks and the direction in degrees north of east.)-What is the length (in blocks) of the path she walked?

Question
Asked Oct 24, 2019
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A girl delivering newspapers covers her route by traveling 5.00 blocks west, 3.00 blocks north, and then 8.00 blocks east.
- What is her final position relative to her starting location? (Enter the magnitude in blocks and the direction in degrees north of east.)
-What is the length (in blocks) of the path she walked?
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Expert Answer

Step 1

Given values:

Distance travelled due west, OA = 5 Blocks

Distance travelled due north, AB =3 Blocks

Distance travelled due east, BC = 8 Blocks

Step 2

From diagram, CD = CB - OA = 8 - 5 = 3 Blocks

Taking east as positive X – axis and north as positive Y – axis

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Step 3

We can see from diagram that her final position relative to her starting location is...

CO OD2+CD
Co =NOD +CD
Plugging in the given values:
CO =32 +(8-5)
CO = 19+9 = v18 = 4.24 Blocks
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CO OD2+CD Co =NOD +CD Plugging in the given values: CO =32 +(8-5) CO = 19+9 = v18 = 4.24 Blocks

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