Question

I have another question I need help with. How do I solve for the missing angle?

Answer 1

Answer:

The angle measures approximately 18.19°.

Step-by-step explanation:

Since we want to find the angle and we are given the side adjacent to the angle and the hypotenuse, we can use the cosine ratio. Recall that:

$\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}$

The adjacent side is 19 and the hypotenuse is 20. Substitute:

$\displaystyle \cos \theta = \frac{19}{20}$

We can take the inverse cosine of both sides:

$\displaystyle \theta = \cos^{-1}\frac{19}{20}$

Use a calculator (make sure you're in Degrees Mode!). Hence:

$\theta \approx 18.19^\circ$

The angle measures approximately 18.19°.