Use the Law of Cosines to find the missing angle. In triangle Test Image, g = 8 ft, h = 13 ft, and Test Image. Find Test Image. Round your answer to the nearest tenth.
+118724 Was this supposed to have a picture with it? It doesn't make much sense. Sorry.
Full Question:
Use the Law of Cosines to find the missing angle. In triangle FGH, g = 8 ft, h = 13 ft, and m<F = 72°. Find m<G. Round your answer to the nearest tenth.
Answer:
Use this equation
b^2 = a^2+c^2-2ac(Cos B)
a = 8, b = ?, c = 13
(Draw the triangle, it's easier to understand that way).
You would get b^2 = 8^2+13^2 - 2(8)(13)Cos B
233 - 208(Cos72)
233 - 64.27553484 = 168.7244652
168.7244652 squared is 12.98939818
This is side f.
Now use that in the Law of Sines:
Sin72 / 12.98939818 = SinG / 8
Sin72 = 0.9510565163
0.9510565163 x 8 = 7.60845213
Sin-1(7.60845213/12.98939818)
Make sure you're in degrees.
THE ANSWER IS 35.85551363° OR 35.9°
