Question

use the inverse of cosine to find the indicated missing angle. round your answer to the nearest tenth (1 point) θ = 22.6 22 22.8 21.6

Explanation:

Step1: Recall cosine - ratio formula

The cosine of an angle $\theta$ in a right - triangle is given by $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. Here, the adjacent side to the angle $\theta$ is 12 and the hypotenuse is 13. So, $\cos\theta=\frac{12}{13}$.

Step2: Use inverse cosine function

We know that $\theta = \cos^{-1}(\frac{12}{13})$. Using a calculator, $\cos^{-1}(\frac{12}{13})\approx22.6^{\circ}$ (rounded to the nearest tenth).

Answer:

$22.6$