** Could someone help me with # 4 ? I need help setting it up and solving it. An
ID: 3026605 • Letter: #
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** Could someone help me with # 4 ? I need help setting it up and solving it. Any help is appreciated!!
For problems 3 and 4 all I need is the answers "how far" and "what direction"... I do not need to see any work and you can complete these problems using either the Law of Sines/Cosines method or the vector method. (Round final answers to nearest 10th) 3.) A blimp is flying at a speed of 40mph and going in a direction of 80 degrees. After 3 hours of flying it turns and travels 1 hour in a direction of 350 degrees. How far is the blimp from its starting location and in what direction? 4.) Johnny picks up a baseball and throws it to Rob who is exactly 130 feet away at a direction of s0 degrees. Rob then throws the ball to Patrick who is 50 feet from Rob in a direction of 30 degrees. Find the exact distance and direction that Patrick is from Johnny.Explanation / Answer
4)
position of rob with respect to johnny ,Prj=130cos50oi +130sin50oj
position of patrick with respect to rob ,Ppr=50cos30oi +50sin30oj
position of patrick with respect to johnny ,Ppj=Ppr+Prj
position of patrick with respect to johnny ,Ppj=(50cos30oi +50sin30oj)+(130cos50oi +130sin50oj)
position of patrick with respect to johnny ,Ppj=(50cos30o+130cos50o)i +(50sin30o+130sin50o)j
position of patrick with respect to johnny ,Ppj=(126.864)i +(124.586)j
exact distance of patrick from johnny =|Ppj|
exact distance of patrick from johnny =[(126.864)2 +(124.586)2]
exact distance of patrick from johnny =177.8 feet
direction =tan-1(124.586/126.864)
direction =44.5o
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