An aircraft flies 3 hrs east then 2 hrs north at 300 knots at an altitude of 3 nmi, starting at 40° north latitude. (a) Find its position using the flat-Earth dead-reckoning equations. Ans. x = 900 nmi, y = 600 nmi. (b) Find the final latitude-longitude using spherical-Earth equations with the Gaussian radius of curvature. Ans. & = 49.98°, al = 19.54°.

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An aircraft flies 3 hrs east then 2 hrs north at 300 knots at an altitude of
3 nmi, starting at 40° north latitude.
(a) Find its position using the flat-Earth dead-reckoning equations.
Ans. x = 900 nmi, y = 600 nmi.
(b) Find the final latitude-longitude using spherical-Earth equations with
the Gaussian radius of curvature.
Ans. $ = 49.98°, ax = 19.54°.
Transcribed Image Text:An aircraft flies 3 hrs east then 2 hrs north at 300 knots at an altitude of 3 nmi, starting at 40° north latitude. (a) Find its position using the flat-Earth dead-reckoning equations. Ans. x = 900 nmi, y = 600 nmi. (b) Find the final latitude-longitude using spherical-Earth equations with the Gaussian radius of curvature. Ans. $ = 49.98°, ax = 19.54°.
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