QuickHelper

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Category > Math Posted 25 Aug 2017 My Price 13.00

Assume that the earth is a perfect sphere of radius 3960 miles.

Assume that the earth is a perfect sphere of radius 3960 miles. By the heading, h(~a, P), of a directed, great circle arc ~a at the point P on the arc we mean the angle made with the “latitude” circle.

You are to “file a flight plan” for a direct flight from Syracuse to Cape Town, South Africa. Assume that the map coordinates of Syracuse are 43◦N, 76◦W and the map coordinates of Cape Town are 34◦S, 18◦E. The flight plan should include the following items:

(a) the conversion of the navigational coordinates of Syracuse and Cape Town to spherical coordinates - (φB, θB) for Syracuse and (φC, θC) for Cape Town;

(b) a complete solution of the triangle with vertices: A (North Pole), B (Syracuse) and C Cape Town;

(c) the direction of flight upon leaving Syracuse;

(d) the length of your flight in miles and its duration in hours, assuming a constant speed of 700 mph;

(e) Identify the when (flight time) and where (longitude) you will cross the equator.

!!!! the attachment is the original problem !!! PROBLEM 2

Answers

QuickHelper
(10)
Status NEW Posted 25 Aug 2017 01:08 PM My Price 13.00

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