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]