Question

In the right trange show, A=30 degrees and AC=12 How long is AB

Answer 1

Answer:

$AB=6\sqrt{3}$

Step-by-step explanation:

$Given\ \angle A=30\textdegree\\\\AC=12\\\\\cos \theta=\frac{adjacent}{hypotenuse}\\\\\cos A=\frac{AB}{AC}\\\\\cos 30=\frac{AB}{12}\\\\\frac{\sqrt{3}}{2}=\frac{AB}{12}\\\\AB=6\sqrt{3}$