Into the City: A Tale Of Two Cousins
Problem 1: Mr. Q was on his way back from his trip to Antarctica and was flying into the Los Angeles Airport (LAX). It just so happened that his cousin Jack the Pumpkin Seller (JPS) was also flying into LAX from the small farming town in the plains. They had talked about meeting up before they got on the planes. The one thing they did not plan was where they would meet up. When Mr. Q arrived at gate 4A he got off, collected his luggage, and went to stand and look out the window. When JPS got off at gate 12A he got his luggage and went to stand by the windows. From the point where Mr. Q was standing to where JPS was standing is three hunna yards. They are both looking out at the incoming plane wondering if it is the other cousin coming in. Mr. Q is looking at it from a bearing of North 47 degrees East and JPS is looking at the same plane at a bearing of North 56 degrees West. What is the distance that Mr. Q is from the plane? What about JPS?
Problem 2: Mr. Q and JPS finally found each other after making a simple phone call to one another. By this time it was 4:30pm and both of the cousins were starving. Mr. Q knows of a place called Mustache Mikes right down the street and around the corner. However, JPS used his phone and thought it was down the street and around the corner in the other direction. They decided that they would go their own routes and see who was right. Mr. Q headed there at a bearing of 290 degrees while JPS headed there at a bearing of 080 degrees. Mr. Q heads in his direction at a speed of 8mph for 30 minutes and JPS heads in his direction at a speed of 6mph for 30 minutes. It turns out that Mr. Q was right. How far is JPS going to have to travel to get to the restaurant?
