Use the given parts of a right spherical triangle ACB

Question

C = 90°
B = 143° 44'
A = 60° 25'

Answer 1

Using the given parts of the right spherical triangle ACB, we can find the missing parts using the following formulas:

1. Law of Sines: sin(A)/sin(a) = sin(B)/sin(b) = sin(C)/sin(c)
2. Law of Cosines: cos(C) = cos(A) * cos(B) + sin(A) * sin(B) * cos(c)
3. Complementary Angle: A + C = 90°

1. Let's find angle A:
A + C = 90°
60° 25' + 90° = 150° 25'

2. Let's find angle B in degrees:
B = 143° 44'

3. Let's find angle B in minutes:
143° 44' = (143 * 60) + 44 = 8624 minutes

4. Let's find angle C:
C = 90°

Now we have all three angles of the right spherical triangle ACB:

A = 150° 25'
B = 143° 44'
C = 90°