PROBLEM _ You are part of a team to participate in a geological dig and will arrive at the airport shown in the diagram below. Note, the diagram is NOT drawn to scale. As shown, there are three possible routes to hike to the dig site from the staging area at the airport. All distances are given in miles. The direct route, AD, is 40 miles long but last week two geologists encountered grizzly bears on that route. Additionally, most of the path from B to D is through thick brush. The remaining paths have no known hazards at this time. Geological Dig D YOUR ASSIGNNIENT ' . _ 1) Determine the lengths of the other two routes (ABD and ACD). Identify any formula or law you are applying. Clearly show each step in solving the equation. Use correct units. Page 1 of 3 2) If all three routes are at the same elevation, which of the three routes would you choose and why? Justify your answer. You should give more than one reason for your decision and list any assumptions that you make. Remember that you are giving your convincing argument for selecting a particular route. Your answer must be written in complete and grammatically correct sentences. 3). Suppose route AC is a dirt path over a hill of 1000 ft. elevation. Would this change your decision? Which route and why? 4). Suppose the route AC is a level dirt path and it rained for the three days before the planned departure on the hike to the dig site with an accumulation of 12 inches of rain. Would this change your decision? Which route and why