Respuesta :

Answer:

The value of y is 20.4

Explanation:

To find the length of y, we consider either of the following:

[tex]\begin{gathered} \sin \theta=\frac{\text{opposite}}{\text{hypotenuse}} \\ \\ OR \\ \\ \cos \theta=\frac{\text{adjacent}}{\text{hypotenuse}} \end{gathered}[/tex]

Suppose we choose to use the first one, we have:

[tex]\sin 62=\frac{18}{y}[/tex]

So that

[tex]y=\frac{18}{\sin 62}=20.4[/tex]

If we choose to use the second one, we have:

[tex]\begin{gathered} \cos 28=\frac{18}{y} \\ \\ y=\frac{18}{\cos 28}=20.4 \end{gathered}[/tex]