Question

Solve for
x. Round to the nearest tenth of a degree, if necessary.

Answer 1

30 is the answer get me

Answer 2

`\displaystyle x \approx 30.8`

Explanation:

Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.

Therefore, we can use the cosine ratio. Recall that:

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

The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:

`\displaystyle \cos x = (8.5)/(9.9)`

We can take the inverse cosine of both sides:

`\displaystyle x = \cos^(-1) (8.5)/(9.9)`

Use a calculator. Hence:

`\displaystyle x \approx 30.8`