The Planar Tree Problem. A tree has a trunk that is 2 meters high. At the top of the trunk are two branches, which are each one meter long and are at right angles to each other. It should look like this (but to scale.) At the end of each of these branches, there are two more branches, which are each 0.5 meters long and are at right angles to each other. Continue this process forever. (Remember this is a planar tree. So the trunk and all the branches are in the same plane.) All answers should be exact. Show all work. 1. What height will the tree approach? 2. What width will the tree approach? 3. What will the length of the branches approach? 4. What will the total length of the branches approach? 5. How close to the ground will the lowest branch come? The Planar Tree Problem. A tree has a trunk that is 2 meters high. At the top of the trunk are two branches, which are each one meter long and are at right angles to each other. It should look like this (but to scale.) At the end of each of these branches, there are two more branches, which are each 0.5 meters long and are at right angles to each other. Continue this process forever. (Remember this is a planar tree. So the trunk and all the branches are in the same plane.) All answers should be exact. Show all work. 1. What height will the tree approach? 2. What width will the tree approach? 3. What will the length of the branches approach? 4. What will the total length of the branches approach? 5. How close to the ground will the lowest branch come