Question

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

x
X =
18
23°
Not drawn to scale

Answer 1

See below.

Explanation:

We are given the value of an angle, and the hypotenuse.

x will equal 7.0

Using Trigonometry Functions, we can identify x.

`\textsf{Trigonometry Functions:}`

`Sin = (Opposite)/(Hypotenuse)`

`Cosine = (Adjacent)/(Hypotenuse)`

`Tan = (Opposite)/(Adjacent)`

`\fbox{We should use Sin.}`

Let's begin by solving for x.

`\textsf{\underline{We should use;}}`

`{Sin(23^(\circ))}`

`\textsf{\underline{Solve for x:}}`

`Sin(23^(\circ))=(x)/(18)`

`\textsf{\underline{Multiply by 18:}}`

`18 * Sin(23^(\circ))={x}`

`x \approx 7.0`