Question

12)
find each angle measure to the nearest degree.
24
22
20

Explanation:

Step1: Identify trigonometric ratio

We have the opposite side ($8$) and adjacent side ($20$) to the unknown angle, so use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute values into ratio

$\tan(\theta) = \frac{8}{20} = 0.4$

Step3: Calculate inverse tangent

$\theta = \arctan(0.4)$
Using a calculator, $\arctan(0.4) \approx 21.8^\circ$, which rounds to $22^\circ$.

Answer:

22