Question: In Java: Write a method findHeight() that returns the height of the calling tree. Remember that the height is the maximum level of the tree,

In Java:

Write a method findHeight() that returns the height of the calling tree. Remember that the height is the maximum level of the tree, with level 1 being the root. (Hint: A recursive solution is nice and short.)

In class we discussed pre-order, in-order, and post-order traversals. Another common type of tree traversal is a level-order traversal. This involves visiting the nodes of the tree left-to-right, top-to-bottom (just like the way you normally read a page of text). For example, consider the BST below:

A level-order traversal would visit the nodes in this order: 5 0 7 4 9 1

Write a levelOrderTraversal method. The method should print the nodes in the order that they are visited. (Hint: one non-recursive algorithm for this is to use a queue to keep track of the nodes that you want to visit. Start by enqueuing the root node, and see what needs to be done from there.)

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