Last summer I had a foamy stuck in a birch tree. Tried to climb it, not a chance. Went home to get the chain saw and mentioned to the guy next door, a marshal arts expert, who said he'd come along and help. When we got there he said let me try something and then proceeded to hit the truck of the tree with his palm. When I asked him what are you doing hitting a solid trunk, he said look up.
To my total amazement the top of the branches shook every time he hit the tree. Once he'd established the rythem, it was just as if a strong wind was blowing, the entire top of the tree was shaking... quite amazing. After about 30 seconds the plane fell out! He said he'd learnt the technique in Japan.
So there you go, forget the chain saw, learn Kung Fu!