Question

Find the value of x, rounded to the nearest tenth.

Answer 1

x=6.2

Explanation:

So to find this we can use the trignometric function sin(Θ):

Perpendicular = x

Hypotonuse = 18

Θ = 20°

sin(Θ) =
`(Perpendicular)/(Hypotonuse)`

Substituting our values we get:

Sin(20°) =
`(x)/(18)`

Using a calculator we get:

0.34202 =
`(x)/(18)`

`x=0.34202*18`

x=6.15636

So rounding that to the nearest tenth :

x=6.2