Question

Can someone explain this I don't understand

Answer 1

16°

Explanation:

For this problem, it's helpful to know SOH-CAH-TOA. When you see which sides are given, you can use that acronym to figure out which trigonometric function you need to use. In this case, the side adjacent to the angle in question (53) and the hypothenuse (55) are given. So we would look at CAH, and know we need to use cosine. However, since we are finding an angle, we need to use
`cos^(-1)` (inverse cosine). Now we just solve:

? =
`cos^(-1) (adjacent / hypotenuse)`

? =
`cos^(-1) (53/55)`

? = 15.5° -> 16°