I Was Very Amazed At The Solution 13

In the Cartesian Plane, let $O$ be the origin. There are points $A$ , $B$ , $C$ such that, $\overline{OA}$ is located $60^{\circ}$ North of East, $\overline{OC}$ is located $45^{\circ}$ South of East, $m\overline{OA} = 40 \ \text{km}$ and $m\overline{OC} = 25 \ \text{km}$ . Also, $\overline{OA} \parallel \overline{BC}$ and $\overline{OC} \parallel \overline{BA}$ .

Base from the information given, point $B$ can be located at the point $(x, y)$ . What is the value of $x + y$ ?

For more problems like this, try this set .