I'm sorry guys, i'm really terrible at

Archimedes is about 7.51 meters from the rock.

Step-by-step explanation:

They are are looking for the base length of the above right triangle.

The angle whose measurement is given measures 43 degrees.

The side that is opposite of it has it's measurement is given as 7 meters.

We are not looking for the hypotenuse length, but we are looking for the adjacent length.

Recall the following trigonometric right-triangle definitions:

So the things I mentioned that were given or that we wanted to find are the following:

where is the number we want to find.

So this means we will need the following above definition to help us solve this problem:

Multiply both sides by :

Divide both sides by :

I'm not inserting right hand side into calculator:

Archimedes is about 7.51 meters from the rock.