Question

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

part I: Project Rescue (25 points) The Park Rangers protecting our national forests typically carry communication and sighting equipment that is used to help locate lost hikers, forest fires, airplanes crashes and other such like. In one instance, a light plane P crashed in a dense part of the forest, with the crash occurring 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 the bearing from the Ranger Station, based on the smoke plume from the wreckage, was 52º. Answer the questions that follow, showing work to support your answers and rounding answers to nearest tenth, unless otherwise indicated. Answer the “Why?” questions in complete sentences.   

1) Use the information given to draw RSP. Draw the triangle large enough to fit the box below, labeling all given information and measurements 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 crash site?

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

part II: Project Rescue (15 points) Redraw the figure in Part I in the box below. A search and rescue team T is assembling at a point that is 7 miles due east of the ranger station S, directly between the ranger station and the witness. Draw a line connecting point 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? Answer in terms of a bearing.

Answer 1