Question

Trigonometry *find the value of x*

Answer 1

`\cos(x) = (b)/(h) \\ \cos(x) = (4 .9)/(6.8) \\ \cos(x) = 0.720 \\ x = \cos^( - 1) (0.720) \\ x = 44 \degree`

Answer 2

x ≈ 44°

Explanation:

We will use a trigonometry function to solve for x. We can see that we have values for the adjacent side and hypotenuse. This means we will be using cosine. Cosine is
`(adjacent )/(hypotenuse)`

cos(x) =
`(adjacent )/(hypotenuse)` [Given]

cos(x) =
`(4.9)/(6.8)` [Plug-in the values we have]

x ≈ 43.8969 [Find the inverse cosine function of both sides]

x ≈ 44° [Rounding to nearest degree]