cos 58 = 8/x

To solve the equation cos 58 = 8/x, we need to isolate x.

We know that cos 58 = adjacent side / hypotenuse.

Let's assume that there is a right triangle where the angle opposite the adjacent side is 58 degrees. And let's label the adjacent side as 8 and the hypotenuse as x.

cos 58 = 8 / x

To isolate x, we can cross-multiply:

cos 58 * x = 8

Now, divide both sides of the equation by cos 58:

x = 8 / cos 58

Using a calculator:

x ≈ 16.6

Therefore, x is approximately equal to 16.6.