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A girl delivering newspapers covers her route by traveling 6.00 blocks west, 3.00 blocks north, and then 7.00 blocks east. HINT (a) What is her final position relative to her starting location? (Enter the magnitude in blocks and the direction in degrees north of east.) magnitude blocks direction ° north of east (b) What is the length (in blocks) of the path she walked?

Respuesta :

Answer:

a) we can form a triangle in order to use the Pythagorean theorem = 3² + 1² = h²

h² = 9 + 1 = 10

h = √10

h = 3.1623 blocks

we must also find the angle at the initial point of the triangle (A):

tan⁻¹ (1/3) = 18.43°    

the position relative to her starting position is 90° - 18.43° = 71.57° north of east

b) total distance traveled = 6 + 3 + 7 = 16 blocks

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