I'm having a problem that I'm not sure how to solve (or if it's even possible). It's not homework, just something I'm struggling with for a project. :)
Basically, there are two circles, represented here by the red-ish lines, that have the same center point $E$. The radii of the circles are not known, these are the distances $AE$ and $CE$.
Distances $AE$ and $BE$ are identical.
Distances $CE$ and $DE$ are identical.
Hence, distances $AC$ and $BD$ are identical.
Known metrics:
$AC = BD = 10$ meters.
$AD = 200$ meters.
From $A$ and $B$ are tangent lines, marked as blue. From the tangent line that is connected by point $A$ to the line $AD$, the angle is $8^\circ$.
The problem here is: How do I find the radius of any of the circles? I'm thinking setting up an isosceles triangle is the way to move forward, but I'm stuck. Can the distance $CD$ and angle $CDE$ be found to solve the sides of the triangle? Is there another way of finding the radii that I haven't thought of?