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問題一覧
1
If Greenwich Mean Time (GMT) is 6 A.M., what is the time at a place located 30° East longitude?
8 A.M.
2
If the longitude of Tokyo is 139°E and that of Manila is 121°E, what is the time difference between Tokyo and Manila?If the longitude of Tokyo is 139°E and that of Manila is 121°E, what is the time difference between Tokyo and Manila?
1 hour and 12 minutes
3
One degree on the equator of the earth is equivalent to?
4 minutes
4
A spherical triangle ABC as an angle C = 90° and sides a = 50º and c = 80°. Find the value of “b” in degrees.
74.33°
5
Solve the remaining side of the spherical triangle whose given parts are A = B = 80° and a = b = 89°.
168° 31’
6
Solve for the side b of a right spherical triangle ABC whose parts are a = 46°, c = 75° and C = 90°.
68°
7
Given the right spherical triangle whose given parts are a = 82°, b = 62° and c = 90°. What is the value of the side opposite the right angle?
86° 15’
8
Determine the value of the angle B of an isosceles spherical triangle ABC whose given parts are b = c = 54° 28’ and a = 92° 30’.
41° 45’
9
Solve for angle A in the spherical triangle ABC, given a = 106º 25’, c = 42° 16’ and B = 114° 53’.
97° 09’
10
Solve for angle C of the oblique triangle ABC given, a = 80°, c = 115° and A = 72º
119°
11
Determine the spherical excess of the spherical triangle ABC given a = 56°, b = 65º and c = 78°.
33° 33’
12
What is the spherical excess of a spherical triangle whose angles are all right angles?
90°
13
The area of a spherical triangle ABC whose parts are A = 93º 40’, B = 64° 12’, C = 116º 51’ and the radius of the sphere is 100 m is?
16531 sq. m.
14
A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical excess is 30º?
25 km
15
A ship on a certain day is at latitude 20º N and longitude 140º E. After sailing for 150 hours at a uniform speed along a great circle route, it reaches a point at latitude 10º S and longitude 170º W. If the radius of the earth is 3959 miles, find the speed in miles per hour.
16.4
16
Calculate the area of a spherical triangle whose radius is 5 m and whose angles are 40°, 65°, and 110°.
15.27 sq. m.
17
right spherical triangle has an angle C = 90°, a = 50°, and c = 80°. Find the side b.
74.33°
18
If the time is 8:00 a.m. GMT, what is the time in the Philippines, which is located at 120° East longitude?
4 p.m.
19
An airplane flew from Manila (14° 36’N, 121° 05’E) at a course of S 30° E maintaining a certain altitude and following a great circle path. If its groundspeed is 350 knots, after how many hours will it cross the equator?
2.87 hours
20
Find the distance in nautical miles between Manila and San Francisco. Manila is located at 14° 36’N latitude and 121° 05’ E longitude. San Francisco is situated at 37° 48’ N latitude and 122° 24’ W longitude.
6046.2 nautical miles