SOLUTION: Two planes have left the airport. One plane is 30 miles wesst of the airport and has an altitude of 4 miles. The other is 30 miles east of the aiport and has altitude of 2 miles. W
Algebra.Com
Question 734054: Two planes have left the airport. One plane is 30 miles wesst of the airport and has an altitude of 4 miles. The other is 30 miles east of the aiport and has altitude of 2 miles. What is the distance between the planes?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two planes have left the airport.
One plane is 30 miles west of the airport and has an altitude of 4 miles.
The other is 30 miles east of the airport and has altitude of 2 miles.
What is the distance between the planes?
:
find the angles to the planes using the right triangles formed with the ground
Let A = angle of the higher plane
Let B = angle of the lower
;
Sin(A) =
A = 7.66 degrees
Sin(B) =
B = 3.82 degrees
:
Then the angle opposite the distance between the isosceles triangle formed by the base and the two aircraft: 180 - 7.66 - 3.82 = 168.5 degrees
the other two angles of this triangle: = 5.75 degrees
:
Use the law of sines to find the distance (d) between the aircraft
=
Cross multiply and find the sines
.1d = 30 * .1994
d =
d = 59.81 mi between the aircraft
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Two planes have left the airport. One plane is 30 miles wesst of the airport and has an altitude of 4 miles. The other is 30 miles east of the aiport and has altitude of 2 miles. What is the distance between the planes?
-----------------
The distance on the ground = 10+30 = 60 miles
The vertical distance = 2 miles
d =~ 60.00333 miles
RELATED QUESTIONS
Two planes have left the L.A. airport. One plane is 30 miles west of the airport and has... (answered by lwsshak3)
2 PLANES HAVE LEFT THE LA AIRPORT. ONE PLANE IS 70 MILES WEST OF THE AIRPORT AND HAS AN... (answered by LinnW)
Two airplanes leave an airport at the same time and at a 90° angle from each
other.... (answered by Alan3354)
At 10am a plane leaving an airport traveling east at 400 mi/hr and another plane located... (answered by Fombitz)
Two planes leave simultaneously from the same airport, one flying due east and the other... (answered by checkley77,ankor@dixie-net.com)
Two planes left an airport at noon. One flew east at a certain speed and the other flew... (answered by Cintchr)
Two planes left an airport at noon One flew east at a certain speed and the other flew... (answered by solver91311)
Two Planes left an airport at noon. One flew east at a certain speed and the other flew... (answered by macston)
two planes leave an airport at the same time and fly in opposite directions. one of the... (answered by drj)