Use the given parts of a right spherical triangle ACB
C = 90°
B = 143° 44'
A = 60° 25'
Which of the following equations is used to solve for side a?
To solve for side a in a right spherical triangle using the given information, we can use the equation of the Law of Sines in spherical trigonometry. The equation is:
sin(a) / sin(A) = sin(c) / sin(C)
In this equation, a represents the length of side a, A represents the measure of angle A, c represents the length of the hypotenuse of the triangle, and C represents the measure of the right angle.
Therefore, the equation used to solve for side a is:
sin(a) / sin(A) = sin(c) / sin(C)
To solve for side a in a right spherical triangle, we can use the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, we have a right spherical triangle with angles A, B, and C. We are given the angles B and C, and we need to find side a, which is opposite angle A.
The equation to solve for side a using the Law of Sines is:
sin(A) / a = sin(B) / b = sin(C) / c
In this equation, a is the length of side a, A is the measure of angle A, B is the measure of angle B, and C is the measure of angle C.
So, the correct equation to solve for side a is sin(A) / a = sin(B) / b = sin(C) / c.