Respuesta :

Answer:

[tex]x=28cos(z)\\y=28sin(z)[/tex]

Step-by-step explanation:

We have been given a right triangle, which the following dimensions:

Hypotenuse = 28

Angle = z

Adjacent = x

Opposite = y

Upon using trigonometric ratio for cosine, we can write:

[tex]cos(z)=\frac{\text{Adjacent}}{\text{Hypotenuse}} =\frac{x}{28}\\ x=28cos(z)[/tex]

Similarly, upon using trigonometric ratio for sine, we get write:

[tex]sin(z)=\frac{\text{Opposite}}{\text{Hypotenuse}} =\frac{y}{28}\\ y=28sin(z)[/tex]