Spherical Trigonometry (from Activity) Flashcards

1
Q

Given a right spherical triangle with C = 90°, a = 72°27’ and b = 61°49’. Find the area of the spherical triangle if the radius of the sphere is 10 m.

A

82.64 mm²

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2
Q

A spherical triangle has the following parts: C = 90°, c = 80°, and b = 54°. Compute angle A.

A

75.95°

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3
Q

Find the area of a spherical triangle if C = 90°, c = 80°, b = 54°, and the radius of the sphere is 10 m.

A

71.87 m²

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4
Q

The parts of a spherical triangle are a = 60°18’, b = 101°24’, and c = 75°36’. Compute angle C.

A

65°59’

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5
Q

A spherical triangle has the following parts: B = 118°, c = 82°, and a = 54°. Compute b.

A

107.12°

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6
Q

Given the coordinates of 2 places: New York( 40°43’ N, 74° 0’ W ) and Liverpool( 53° 24’ N, 3° 4’ W ). Find the distance between the 2 places, in nautical miles.

A

2, 870 N.M.

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7
Q

Given the coordinates of 2 places: New York( 40°43’ N, 74° 0’ W ) and Liverpool( 53° 24’ N, 3° 4’ W ). Find the bearing of Liverpool from New York.

A

N 49° 30’ E

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8
Q

Given the coordinates of 2 places: New York( 40°43’ N, 74° 0’ W ) and Liverpool( 53° 24’ N, 3° 4’ W ). If the time now in New York is 8:00 AM, what is the time in Liverpool?

A

12:44 PM

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9
Q

An airplane flew from Sydney ( 151°12’ E, 33°52’ S ) on a course N 40° W and maintaining a uniform altitude. At what longitude will it crosses the equator?

A

126° 08’

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10
Q

An airplane flew from Sydney ( 151°12’ E, 33°52’ S ) on a course N 40° W and maintaining a uniform altitude. What is its average speed if it crosses the equator 6 hours after it left Sydney?

A

412.20 knots

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