Does anyone know what the formula is?

Answer:
29.50 degrees to the nearest hundredth.
Step-by-step explanation:
First we can find the measure of < CGB by using the Cosine Rule:
cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)
= -0.61936
So m < CGB = 128.27 degrees.
Now we can find the measure of x by using the Sine Rule:
11 / sin 128.27 = 6.9 / sin x
sin x = 6.9 * sin 128.27 / 11
= 0.49248
x = 29.5035 degrees
Answer:
x is around 29.5
Step-by-step explanation:
Let's just use the law of cosines.
[tex]c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ[/tex]