SOLUTION: A plane is traveling at 270 feet per second. When the plane takes off, the angle of elevation is 17 degrees. How many minutes will it take for it to reach 13,000 feet?

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: A plane is traveling at 270 feet per second. When the plane takes off, the angle of elevation is 17 degrees. How many minutes will it take for it to reach 13,000 feet?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 426561: A plane is traveling at 270 feet per second. When the plane takes off, the angle of elevation is 17 degrees. How many minutes will it take for it to reach 13,000 feet?
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Solution: Denote x feet the distance that must travel the plane to reach the altitude 13,000 feet.Since the sin(17)=13000/x we find:
x=13000%2Fsin%2817%29, x=49266 feet.
The time needed to travel this distance is: t=49,266/270=182.5 second.
Answer:The plane takes 3 min. and 2.5 sec. to reach 13000 feet altitude.