Question

Find the value of x. Round to the nearest tenth.

Answer 1

Option A.

Explanation:

This will use one of the following trigonometric functions.

`Sin(opp)/(hyp) Cos(adj)/(hyp) Tan(opp)/(adj)`

Where opp is the opposite side to angle Φ, hyp is the length of the hypotenuse and adj is the side adjacent to angle Φ.

As in the provided picture, the given side is the opposite side and the side that needs to be calculated, x, is the hypotenuse.

The only function that uses an opposite and the hypotenuse is sin, therefore we will use this.

We need to rearrange the function so that the subject is the side we need which is the hypotenuse.

`Sin \theta= (opp)/(hyp)`

`hyp = (opp)/(sin\theta)`

Now we can plug known values into this:

`x = (16)/(Sin(35\textdegree )) \\x = 16 / 0.574\\x = 27.875\\x = 27.9`

Hope this helps!