4.
Two bikers meet at a park. Biker A needs to stop at the store that is 14 miles east of the park. Biker B heads southeast at a 60° angle at the same time for 33 miles. Once biker A leaves the store he heads southwest at an angle of 80° for 20 miles.
a. Use your knowledge of triangles to figure out if the two bikers will be able to meet up if each biker travels the distance given.
b. If they do not meet up, how much farther would one of the bikers have to travel to meet the other?
c. What is the measure of the angle between the bikers?
d. What is the relationship between the measure of the angles and the paths the bikers took?
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