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ID: 2920748 • Letter: 2

Question

2 https://www.mathxl.com/Student/PlayerHomework.aspxzhomeworkld-471899279&questionld-3;&flushed-false;&cld-4917274;&ccenterwin; Trigonometry Ashleigh Vaughan & 5/8/18 12:17 AM Homework: Section 3.2 Homework Score: 0 of 1 pt 3.2.27 Save 3 4 of 16 (5 complete) HW Score: 31.25%, 5 of 16 pts Question Help Two cities are 1800 km apart and lie on the same north-south line. The latitude of the northernmost city is 73° N. What is the latitude of the other city? The radius of the Earth is approximately 6400 km The latitude of the other city is approximately N (Do not round until the final answer. Then round to the nearest integer as needed) tion 4 stion 8 tion 12 tion 16

Explanation / Answer

Solution :- the radius of the Earth is 6400 km, then the circumference of the Earth = 2 pi r = 12800 * pi =

= 40,212 km.

now the angle between s = r * (theta) = 360 * 1800/40212 = 16.11º ( note that i have converted the angle into degree)

Subtract the angle from the latitude of 73º - 16.11 = 56.89º N latitude = 57º N latitude

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