Use the Law of Cosines to find the angle $C$, rounded to the nearest tenth.

Given two triangles, $\mathrm{ABC}$ and $\mathrm{XYZ}$, for which pair of triangles is $cos\left(b\right)$ equal to $cos\left(z\right)$?

Given the vertices of a triangle at $(0,0)$, $(5,0)$, and $(2,4)$, use the Law of Cosines to find, correct to the nearest degree, the three angles of the triangle.

Given two lines with direction vectors $(3,4)$ and $(5,12)$, use the Law of Cosines to find the acute angle between the lines.

A surveyor wishes to find the distance across a river while standing on a small island. If she measures distances of $a=30m$ to one shore, $c=60m$ to the opposite shore, and an angle of $B=100\(\degree\)$ between the two shores, find the distance between the two shores.

Solve the triangle: $b=5,c=3,A=100\(\degree\)$.

Solve the triangle: $a=5$, $b=15$, $c=13$.

Solve each triangle. See Examples 2 and 3.

a = 3.0 ft, b = 5.0 ft, c = 6.0 ft