I actually did question 1-7, but I do have some problems in 8and 9.

part I: Project Rescue (25 points) The Park Rangers protectingour national forests typically carry communication and sightingequipment that is used to help locate lost hikers, forest fires,airplanes crashes and other such like. In one instance, a lightplane P crashed in a dense part of the forest, with the crashoccurring to the northeast of a ranger R who witnessed the event.The witness was located 12 miles due east of the ranger station S.The bearing from the witness to the crash site was 20º, while thebearing from the Ranger Station, based on the smoke plume from thewreckage, was 52º. Answer the questions that follow, showing workto support your answers and rounding answers to nearest tenth,unless otherwise indicated. Answer the “Why?” questions in completesentences.   

1) Use the information given to draw RSP. Draw the triangle largeenough to fit the box below, labeling all given information andmeasurements appropriately.

2) What is the measure of ∠ PSR? Why?


3) What is the measure of ∠ PRS?



4) What is the measure of ∠ RPS? Why

5) Can we use the Law of Sines to find the distances SP and RP?Why/why not?

6) What is the distance SP from the ranger station to the crashsite?

7) What is the distance RP from the ranger who witnessed the crashto the crash site?

part II: Project Rescue (15 points) Redraw the figure in Part Iin the box below. A search and rescue team T is assembling at apoint that is 7 miles due east of the ranger station S, directlybetween the ranger station and the witness. Draw a line connectingpoint T and point P.

8) How far is the rescue team T from the crash site?
9) What direction should they head to reach the crash site? Answerin terms of a bearing.