Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
An airplane flies 200 km due west from city A to city B and then 280 km in the direction of 30.5° north of west from city B to...Asked by Anonymous
an airplane flies 200 km due west from city A and then 350 km in the direction of 32.0 degrees north of west from city B to city C.
a) in a straight-line distance, how far is city c from city a?
b) relative to city a, what direction is city c?
a) in a straight-line distance, how far is city c from city a?
b) relative to city a, what direction is city c?
Answers
Answered by
Henry
a. 32 deg North of West = 148 deg.,CCW.
X=hor. = -200 + 350cos148 = -496.82km.
Y = ver. = 350sin148 = 185.47km.
d = sqrt(X^2+Y^2),
d = sqrt((-496.82)^2 + (185.47)^2 =
530.3km.
b. tanA = Y / X = 185.47 / -496.82 = -0.37332.
A = -20.47 deg,CW. = 180 - 20.47 = 159.53 deg.,CCW. = 20.47 deg, North of West..
X=hor. = -200 + 350cos148 = -496.82km.
Y = ver. = 350sin148 = 185.47km.
d = sqrt(X^2+Y^2),
d = sqrt((-496.82)^2 + (185.47)^2 =
530.3km.
b. tanA = Y / X = 185.47 / -496.82 = -0.37332.
A = -20.47 deg,CW. = 180 - 20.47 = 159.53 deg.,CCW. = 20.47 deg, North of West..
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.