SOLUTION: 11. You are stationed at a radar base and you observe an unidentified plane at an altitude h = 3000 m flying towards your radar base at an angle of elevation = 30o. After exactly o

Algebra ->  Trigonometry-basics -> SOLUTION: 11. You are stationed at a radar base and you observe an unidentified plane at an altitude h = 3000 m flying towards your radar base at an angle of elevation = 30o. After exactly o      Log On


   

Question 771397: 11. You are stationed at a radar base and you observe an unidentified plane at an altitude h = 3000 m flying towards your radar base at an angle of elevation = 30o. After exactly one minute, your radar sweep reveals that the plane is now at an angle of elevation of 60o maintaining the same altitude. What is the speed (in m/s) of the plane?
If altitude is 3000m and angle is 30, it is: tan30 = 3000m/x m→ 5196m away
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, you are right so far.
After one minute:
tan (60) = 3000m/xm = 1732m away.
5196 - 1732 = 3464m
1 minute = 60 seconds
3464/ 60 = 57.7 m/s
Hope this helps.
:-)