Question

trig #1
find the missing angle.
22.6 degrees
67.4 degrees
42.8 degrees
47.3 degrees

Explanation:

Step1: Identify the trigonometric ratio

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, the adjacent side to \(\theta\) is \(AC = 12\) and the hypotenuse \(AB=13\).

Step2: Calculate the angle

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

Answer:

22.6 degrees