In a right spherical triangle, the sum of the three angles is always 90°.
Since C = 90°, the sum of angles A and B is also 90°: A + B = 90°.
A = 60° 25'
B = 143° 44'
By substituting these values into the equation: A + B = 90°, we can solve for angle A:
60° 25' + 143° 44' = 90°
Convert minutes to decimal degrees:
60° + (25/60°) + 143° + (44/60°) = 90°
60° + 0.4167° + 143° + 0.7333° = 90°
203.1499° = 90°
This is not possible, because the sum of angles A and B cannot exceed 90° in a right spherical triangle.
Given the current values of A and B, it seems that there might be an error in the given information for the right spherical triangle. Please double-check the provided angles A and B and make corrections as needed.
Use the given parts of a right spherical triangle ACB
Determine the measure of side a ( to the nearest degree and minute).
cos a = cos A/ sin B
C = 90°
B = 143° 44'
A = 60° 25'
1 answer