Question

Solve the triangle abc, if possible. show all work and / or support your answer.c = 52.3°, a = 32.5 yd, c = 59.8 yd

Answer 1

This is solving for a triangle when given two sides and a NON-included angle.
Let's use the Law of Sines and solve for Angle A:sin (C) / side c = sin (A) / side asin (52.3) / 59.8 = sin (A) / 32.50.79122 / 59.8 = sin (A) / 32.5sin (A) = 32.5 * .79122 / 59.8 sin (A) = 0.4300108696
Angle A = 25.468 Degrees
Angle (B) = 180 -52.3 -25.468 = 102.232 degrees
Finally, we'll solve for side b with the Law of Sines
Sine (102.232) / side b = sin (52.3) / 59.80.9773 / side b = 0.79122 / 59.8side b = .9773 * 59.8 / .79122side b = 73.864