SOLUTION: An airplane leaves an airport and flies due west 120 miles and then 150 miles in the direction S 39.17�W. How far is the plane from the airport (round to the nearest mile)?

Question 980261: An airplane leaves an airport and flies due west 120 miles and then 150 miles in the direction S 39.17�W. How far is the plane from the airport (round to the nearest mile)?
Answer by kieran(1) (Show Source): You can put this solution on YOUR website!
x = 120 * cos(0) + 150 * cos(-39.17)
y = 120 * sin(0) + 150 * sin(-39.17)
x = 120 + 150 * cos(39.17)
y = -150 * sin(39.17)
sqrt(x^2 + y^2) =>
sqrt(14400 + 36000 * cos(39.17) + 22500 * cos(39.17)^2 + 22500 * sin(39.17)^2) =>
sqrt(14400 + 36000 * cos(39.17) + 22500) =>
sqrt(36900 + 36000 * cos(39.17)) =>
sqrt(900 * (41 + 40 * cos(39.17))) =>
30 * sqrt(41 + 40 * cos(39.17)) =>
244
RELATED QUESTIONS
An airplane flies 120 kilometers from an airport in a direction of 210 degrees. How far... (answered by stanbon,ankor@dixie-net.com)

An airplane leaves Los Angeles. It flies 100 miles north. It turns due east and flies 600 (answered by scott8148)

An airplane flies 170 kilometers from an airport in a direction of 220 degrees. how far... (answered by Alan3354)

An airplane flies 200 miles from point A in the direction 115� and then travels in the... (answered by TimothyLamb,stanbon)

A private plan leaves an airport and flies due east at 192 miles per hour. Two hours... (answered by josmiceli)

An airplane leaves an airport and travels for 2 hr at 340 mph in a direction of 250... (answered by ikleyn)

A jet leaves an airport at a speed of 350 km/h for 90 minutes in the direction of N 44*... (answered by Boreal)

If Antrim is 120 miles due north of Dublin and Galway is 140 miles due west of Dublin,... (answered by solver91311)

An airplane flies 1000 miles due east in 2 hours and 1000 miles due south in 3 hours.... (answered by bucky)