Question

I am need help to solve. I am not understanding the step process.

Answer 1

We are given the following information

and told to find x. Recall that this is a right triangle, so to solve the problem we will use trigonometry. Recall that for a right triangle we have the following

For the given angle, its cosine is defined as follows

`\cos (\text{angle)}=(a)/(c)`

In our case we have a=x, c=18 and the angle is 12°. So we get

`\cos (12)=(x)/(18)`

By multiplying both sides by 18, we get

`x=18\cdot\cos (12)`

using a calculator, we get

`x=18\cdot\cos (12)\approx16.607`

So x is approximately 16.607 m