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
Algebra ->
Square-cubic-other-roots
-> 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
Log On
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?
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