Question

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

Answer 1

The angle measures approximately 18.19°.

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 = (19)/(20)`

We can take the inverse cosine of both sides:

`\displaystyle \theta = \cos^(-1)(19)/(20)`

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

`\theta \approx 18.19^\circ`

The angle measures approximately 18.19°.