Question

NEED HELP WITH A MATH QUESTION

Answer 1

Answer:

$x =18.0$

Step-by-step explanation:

To solve this problem use the Law of cosine.

The law of cosine says that:

$c^2 = a^2 + b^2 -2abcos(C)$

In this case we have that:

$c = x\\\\a=30\\\\b=16\\\\C=30\°$

Therefore

$x^2 = 30^2 + 16^2 -2(30)(16)cos(30\°)$

$x = \sqrt{30^2 + 16^2 -2(30)(16)cos(30\°)}$

$x = \sqrt{1156 -831.38}$

$x = \sqrt{324.62}$

$x =18.0$