In a right triangle, the tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
For triangle XYZ:
- The side opposite angle Z is side y (since Y is the right angle).
- The side adjacent to angle Z is side x.
Thus, the tangent of angle Z can be expressed as:
\[ \tan(Z) = \frac{\text{opposite}}{\text{adjacent}} = \frac{y}{x}. \]
So the correct response is:
tangent upper Z equals Start Fraction y over x End Fraction