Question

Find c if a=2.93 mi,b=3.95 mi and c=40.3 degrees C=Round your answer to 3 decimal places

Answer 1

Using the law of cosines, we have the following relation between the measures of this triangle:

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

Plugging the given values, we have:

$c^2=(2.93)^2+(3.95)^2-2(2.93)(3.95)\cos40.3^o$

Solving for c, we have our answer:

$c\approx2.556$

The measure of c is 2.556 miles.