Question

find the measure of the missing angle.

Explanation:

Step1: Recall tangent function

We know that $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. In the right - triangle, if the angle we want to find is $\theta$, the opposite side is 14 and the adjacent side is 29. So $\tan\theta=\frac{14}{29}$.

Step2: Find the angle

We use the inverse - tangent function $\theta = \arctan(\frac{14}{29})$. Calculating $\arctan(\frac{14}{29})\approx26^{\circ}$.

Answer:

$26^{\circ}$