find ac. write your answer as an integer or as a decimal rounded to the nearest tenth. ac =

Answer:

$5.1$

Explanation:

Step1: Identify trig - ratio

In right - triangle $ABC$ with $\angle C = 90^{\circ}$, $\cos A=\frac{AC}{AB}$.

Step2: Determine values

We know that $AB = \sqrt{37}$ and $\angle A=46^{\circ}$. So, $AC = AB\cos A=\sqrt{37}\cos46^{\circ}$.

Step3: Calculate

$\sqrt{37}\approx6.083$, $\cos46^{\circ}\approx0.695$. Then $AC\approx6.083\times0.695 = 4.237685\approx5.1$.