WPP #12&13: Law of Sines and Cosines Applications

This WPP 13-14 was made in collaboration with Cynthia A.  Please visit the other awesome posts on their blog by going here
a)Michael and Harry are 4 miles apart when they see a stranded cat on a tree. Michael looks up N35E in the direction of the cat, Harry looks N51W at the cat. What is the height of the cat on the tree from the midpoint?

Solution:

b)Michael and Harry then head their own ways from the tree. By the time try leave it's 2pm. Michael is headed at 027 degrees and walking at the pace of 2.2 miles per hour. Harry is moving at the pace of 2.7 miles per hour at the bearing of 118 degrees. How far apart will they be by 4pm?