Questions: Activity 2: Finding a Missing Angle Measure Click on this link for information on how to find a missing angle measure. Then complete the missing information (scroll down to the table) Trig functions input angles and output side ratios Inverse trig functions input side ratios and output angles

Solution Steps

Given the opposite side length \( 3 \) and the adjacent side length \( 4 \), we can find the angle \( \theta \) using the tangent function: \[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{3}{4} \] To find the angle \( \theta \), we use the arctangent function: \[ \theta = \tan^{-1}\left(\frac{3}{4}\right) \approx 0.6435 \text{ radians} \]

To convert the angle from radians to degrees, we use the conversion factor \( \frac{180}{\pi} \): \[ \theta_{\text{degrees}} = 0.6435 \times \frac{180}{\pi} \approx 36.87 \text{ degrees} \]

Final Answer