SOLUTION: A pilot is flying from city A to city B,which is 85 miles due north after flying 20 miles ,the pilot must change course and fly 10 degree east of north to avoid a cloudbank.
a. if
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Question 1117439: A pilot is flying from city A to city B,which is 85 miles due north after flying 20 miles ,the pilot must change course and fly 10 degree east of north to avoid a cloudbank.
a. if the pilot remains on this course for 20 miles how far will the plane be from city B.
b..how many degrees will the pilot have to turn to the left TO Fly directly to city B? how many degrees from due north is this course.
(question is from law of cosines)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
.
You have side-angle-side, so use the Law of Cosines:
where 
is the side opposite angle 
and 
is the side opposite angle 
(65)\cos 10^\circ})
The rest is just calculator work. You should examine the diagram to convince yourself that the answer is going to be larger than 45 but smaller than 65 as a means of checking the reasonableness of your calculator work.
Use the Law of Sines:
to solve the second problem in your submission.
John
My calculator said it, I believe it, that settles it
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