Question

find the measure of the missing angle to the nearest degree.
find the measure of the missing angle to the nearest degree.
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Explanation:

Step1: Identify trigonometric ratio

We use the tangent ratio $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, $\text{opposite} = 14$ and $\text{adjacent}=29$, so $\tan\theta=\frac{14}{29}$.

Step2: Find the angle

We find $\theta=\arctan(\frac{14}{29})$. Using a calculator, $\theta=\arctan(\frac{14}{29})\approx 25.44^{\circ}$. Rounding to the nearest degree gives $\theta\approx 25^{\circ}$.

Answer:

$25^{\circ}$