Question

Find C. Round to the nearest tenth. 20 ft) 22 ft B A 18 ft C = [ ? ]° Law of Cosines: c2 = a2 + b2 - 2ab cos C Enter

Answer 1

To find angle C, use the Law of Cosines and plug in the given values. The rounded value of c is approximately 13.9 ft.

Step-by-step explanation:

To find angle C, we can use the Law of Cosines, which states that c^2 = a^2 + b^2 - 2ab * cos(C), where a = 20 ft, b = 22 ft, and c is the side opposite angle C. Plugging in these values, we get c^2 = 20^2 + 22^2 - 2(20)(22) * cos(C). Evaluating this equation gives us c^2 = 400 + 484 - 880 * cos(C). To find c, we take the square root of both sides, c = sqrt(884 - 880 * cos(C)). Rounding c to the nearest tenth gives us c ≈ 13.9 ft.