104k views
4 votes
Determine the measure of x, to the nearest tenth of a degree.

Determine the measure of x, to the nearest tenth of a degree.-example-1

1 Answer

3 votes

Answer:

About 73 degrees

Explanation:

By the law of cosines:


26^2=11^2+27^2-2(11)(27)\cos(x) \\\\\\676=121+729-594\cos(x) \\\\\\-174=-594\cos(x) \\\\\\\cos(x)= 0.\overline{29} \\\\\\x\approx 73.0^(\circ)

Hope this helps!

User Treb
by
5.0k points