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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?

Respuesta :

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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