Answer:

Hence, the angle formed by the two angle is 60.27°

Step-by-step explanation:

To calculate for the angle formed by the two cables, we will apply the Law of Cosines or SSS Triangle. Law of Cosines refers to the length of the three side of the triangle. The formula is shown below:

• [tex] \boxed{\bold{\cos (\theta) = \frac{(a^2+b^2-c^2)}{2ab}}} [/tex]

Since we are solving for the angle, we derive the formula as the inverse cosine.

• [tex] \boxed{\bold{\theta =\cos ^{-1} \left(\frac{(a^2+b^2-c^2)}{2ab}\right) }} [/tex]

Substitute the given values to the formula

• [tex] \rm{\theta = \cos ^{-1} \left(\frac{(212^2+230^2-120^2)}{2(212)(230)}\right)} \\\\ \rm{ = \cos ^{-1} (0.505)} \\\\ \rm{= 60.27^{\circ}} [/tex]

Hence, the angle formed by the two angle is 60.27°