Question

$ac = \square$
round your answer to the nearest hundredth.

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(70^\circ) = \frac{AC}{3}$

Step3: Solve for $AC$

$AC = 3 \times \tan(70^\circ)$
Calculate $\tan(70^\circ) \approx 2.7475$, so $AC \approx 3 \times 2.7475$

Step4: Compute final value

$AC \approx 8.2425$

Answer:

$8.24$