SOLUTION: Two planes have left the L.A. airport. One plane is 30 miles west of the airport and has an altitude of 4 miles, while the other plane is 40 miles east of the airport and has an al
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Question 885603: Two planes have left the L.A. airport. One plane is 30 miles west of the airport and has an altitude of 4 miles, while the other plane is 40 miles east of the airport and has an altitude of 2 miles. What is the distance between the planes?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Two planes have left the L.A. airport. One plane is 30 miles west of the airport and has an altitude of 4 miles, while the other plane is 40 miles east of the airport and has an altitude of 2 miles. What is the distance between the planes?
***
let d=distance between the two planes
distance between the planes can be drawn as the hypotenuse of a right triangle
whose adjacent leg=70 mi and the opposite leg=2 mi.
tan x=2/70
x=1.6366˚
sin 1.6366˚=2/d
d=2/sin 1.6366˚
d≈70.03 mi
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