Chapter 8 - Application of Trigonometry - 8.8 Parametric Equations, Graphs, and Applications - 8.8 Exercises - Page 829: 7

$A$

We are given that $t=5$. In order to get the values of $x$ and $y$, we need to substitute the value of $t$ in the expression of $x$ and $y$. $x= t \implies x=5$ and $y= t^2 \implies y=(5)^2=25$ Thus, we have: $(x,y)=(5, 25)$ This matches with option $A$.