Question

Find C.

Round to the nearest tenth.
с
17 ft
8 ft
B
А
16 ft
C = [ ? ]
Law of Cosines : c2 = a2 + b2 - 2ab cos C
Enter

Answer 1

`C=69.1^(\circ)`

Explanation:

The Law of Cosines is given as:

`c^2=a^2+b^2-2ab\cos C`.

Plugging in given values, we get:

`16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=(-97)/(-272),\\C=\arccos((97)/(272)),\\C=\fbox{$69.1^(\circ)$}`.