Question

find the measure of the missing angle. 64° 61° 26° 008°

Explanation:

Step1: Recall the tangent function

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. Here, the opposite side to the unknown angle is $14$ and the adjacent side is $29$. So, $\tan\theta=\frac{14}{29}$.

Step2: Calculate the angle using the inverse tangent function

We know that $\theta = \tan^{- 1}(\frac{14}{29})$. Using a calculator, $\tan^{-1}(\frac{14}{29})\approx26^{\circ}$ (since $\tan(26^{\circ})\approx0.4877$ and $\frac{14}{29}\approx0.4828$).

Answer:

$26^{\circ}$