a falcon sitting in its nest sees a mouse on the ground in a nearby field. if the falcon flies directly to the mouse, at what angle with the ground will the falcon dive to catch the mouse if his nest is 200 feet in the air and the mouse is 400 feet from the base of the tree. Once the falcon catches the mouse he decides to fly to a different nearby tree to eat. If the base of this tree is 400 feet from the mouse on the ground and stands 350 feet tall, what is the total distance the falcon flew?

Answer 1

The angle with the ground would be arctan 200/400, or .5. Assuming the falcon flies to the top of the nearby tree after catching the mouse, he will have flown [√((200)²+(400)²)]+[(√(400)²+(350)²)] feet.