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

Answer:

A. 6.2

Step-by-step 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!

$\sin 20 = \frac{opposite}{hypotenuse} = \frac{x}{18}$

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

$0.342020 = \frac{x}{18}$

$\Rightarrow 18(0.342020) = x$

$\Rightarrow 6.1563615= x$

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