solve for x.\n12 cm\nx\n70°\nx = ? cm\nround to the nearest hundredth.

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$ Here, $\theta=70^\circ$, opposite side $=12$ cm, adjacent side $=x$.

Step2: Rearrange to solve for x

$x = \frac{12}{\tan(70^\circ)}$

Step3: Calculate the value

First, $\tan(70^\circ) \approx 2.7475$, so $x \approx \frac{12}{2.7475}$

Answer:

$4.37$ cm