Question

Find the value of x rounded to the nearest tenth

A.) 6.2
B.) 5.4
C.) 6.5
D.) 5.3

Answer 1

A is the correct answer

Hope this helps :)

Answer 2

A. 6.2

Explanation:

We will use trigonometry, in particular we will use
`\sin x`. We have 3 important pieces of information:

1.- An angle: 20º,

2.- The hypotenuse length: 18,

3.- The opposite side (is opposing our selected angle ):
`x`

Now, as we have hypotenuse and the opposite. ¡The sin fits perfectly!

`\sin 20 = (opposite)/(hypotenuse) = (x)/(18)`

Now, before trying to solve this little equation, we use our calculator and find the value of
`\sin 20` (remember that those are 20 degrees, and not radians).
`\sin 20 = 0.342020`. Substituting in our equation

`0.342020 = (x)/(18)`

`\Rightarrow 18(0.342020) = x`

`\Rightarrow 6.1563615= x`

Now, as we want the closest tenth, the answer will be
`x = 6.2`