Question

Find the value of x round to the nearest tenth

Answer 1

Answer:

Approximately 18.0.

Step-by-step explanation:

To find x, we can use the Law of Cosines.

The Law of Cosines is the following:

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

Now that the c is the side we're trying to find. Thus, the c is x. Also, Angle C is the angle opposite to c (or x). a and b are the two sides next to Angle C.

Plug in x for c, 16 for a, 30 for b, and 30 for Angle C:

$x^2=(16)^2+(30)^2-2(16)(30)\cos(30)\\x^2=1156-960\cos(30)\\x=\sqrt{1156-960\cos(30)} \\x\approx18.0171$

(Use a calculator. Make sure you're in degree mode!)