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24 January, 04:57

Amit flies due east from san Francisco to Washington D. C, a displacement of 5600km. He then fliesfrom Washington D. C to Boston, a displacement of 900 km at an angle of 55.0°east of north. What is amit's total displacement?

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  1. 24 January, 05:01
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    Refer to the diagram shown below.

    The angle at DC (Washington, DC) is 90 + 55 = 145°.

    Let d = the total distance traveled.

    From the Law of Cosines, obtain

    d² = 5600² + 900² - 2 (5600) (900) cos (145°)

    = 4.0427 x 10⁷

    d = 6358.23 km

    Answer: 6358.2 km (nearest tenth)
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Home » Physics » Amit flies due east from san Francisco to Washington D. C, a displacement of 5600km. He then fliesfrom Washington D. C to Boston, a displacement of 900 km at an angle of 55.0°east of north. What is amit's total displacement?
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