Question

Does anyone know what the formula is? ​

Answer 1

29.50 degrees to the nearest hundredth.

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 2

x is around 29.5

Explanation:

Let's just use the law of cosines.

`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) = (149.09 - 47.61)/(116.6) = (101.48)/(116.6)\\~\\x^(\circ) = \arccos(101.48)/(116.6)\\~\\x^(\circ) \approx 29.5^\circ`