You're out of your depth here my friend. In your model, you're...

You're out of your depth here my friend.

In your model, you're standing on the surface of a sphere, which is where you are taking the angle measurement from.

Now you want to introduce another line to make it work. What line would that be?

Sorry, no cigar.

Show me a right triangle with a curved adjacent as the baseline. What? You can't?

Yes, I know that.