Review question

Given two tangents to a circle, can we find these lengths? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R9792

Question

In the diagram, $OA$ and $OB$ are tangents to the circle, centre $C$ and radius $\quantity{4.5}{in.}$ . The lines $OA$, $OB$ are inclined at $55^\circ$ and $25^\circ$ respectively to the straight line $XOY$.

Calculate

1. the angle $COY$;
2. the length $OC$;
3. the distance of $C$ from the line $XOY$.