SOLUTION: two air planes leave the airport at the same time. one airplane flies due east of 300 mph. the other airplane flies east north at a speed of 350 mph (the angle between the two dire

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: two air planes leave the airport at the same time. one airplane flies due east of 300 mph. the other airplane flies east north at a speed of 350 mph (the angle between the two dire      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 971528: two air planes leave the airport at the same time. one airplane flies due east of 300 mph. the other airplane flies east north at a speed of 350 mph (the angle between the two directions is 22.5 degrees). if the planes are at the same altitude how far apartare they after 2 hours? round your answer to the nearest mile
Answer by anand429(138) About Me  (Show Source):
You can put this solution on YOUR website!
Distance covered by 2nd plane in east direction in 2 hours = 350*2*cos(22.5)
So difference in distance between plane in east direction = 350*2*cos(22.5)-300*2
= 100%2A%287%2Acos%2822.5%29-+6%29 = a (say)
Difference in distance between the planes in north direction
= 350%2A2%2Asin%2822.5%29 = b (say)
So distance between planes after 2 hours
= sqrt%28a%5E2%2Bb%5E2%29