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

Answer:

$C=69.1^{\circ}$

Step-by-step explanation:

The Law of Cosines is given as:

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

Plugging in given values, we get:

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