The following questions are for a final class project. Obviously these questions are very hard, and I am unsure how to completely answer these with the proper and complete work shown. Help on answering these questions with work/ steps would be greatly appreciated.
9. Two airplanes leave the airport at the same time. One travels 355 km/h and the other 450km/h. Two hours later they are 800km apart. Find the angle between their courses.
10. Two helicopters flying at an altitude of 250m are 2000m apart when the spot a life raft below. It is directly between them. The angle of depression (AoD) between one and the raft is 37°. The AoD between the other and the raft is 49°. Both are flying 170km/h. How long to the nearest second will it take the nearest aircraft to reach the raft?
For 9.
You have a triangle with all three sides given:
(355 km/hr)(2hr) = 710 km.
(450 km/hr)(2hr) = 900 km.
distance apart = 800 km.
Use the cosine law
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For 10. You have invalid data. The 250m altitude is wrong, or the Angles of Depression are wrong, or the raft is NOT between the two aircraft, or you have two rafts and the pilots do not know it. Or there could be other pieces that make this non solvable.
TYVM for the help. These questions are starting to make a lot more sense to me now.
Aidan, I had a friend copy these questions down on paper. The writing wasn't that great but I was able to make it out. When I get the real paper again, I'll see if any typos were made.
"For 10. You have invalid data. The 250m altitude is wrong, or the Angles of Depression are wrong, or the raft is NOT between the two aircraft, or you have two rafts and the pilots do not know it. Or there could be other pieces that make this non solvable."
I overlooked this question with my teacher, and it is solvable. My teacher said that the "250m altitude" was unneeded to solve the question, though everything else in the question was worded correctly. Some people have solved it already (not sure if they're right though), though I am very confused in what to do. Any suggestions to start off with?
Your diagram is RIGHT. The altitude 250 is irrelevant to the situation.
Use SINE LAW to find distances AC and BC in your diagram.
Similarly,
BC distance comes out smaller, that plane at point B is near to life-raft.
Speed of plane = 170 km/h
Time taken by plane at B to reach life-raft
Hope it helps !