SOLUTION: an aeroplane takes off from the ground at an angle of 27 degrees and its average speed in the first 10 seconds is 200 km/h. what is the altitude of the plane at the end of this tim
Algebra ->
Trigonometry-basics
-> SOLUTION: an aeroplane takes off from the ground at an angle of 27 degrees and its average speed in the first 10 seconds is 200 km/h. what is the altitude of the plane at the end of this tim
Log On
Question 567603: an aeroplane takes off from the ground at an angle of 27 degrees and its average speed in the first 10 seconds is 200 km/h. what is the altitude of the plane at the end of this time? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! an aeroplane takes off from the ground at an angle of 27 degrees and its average speed in the first 10 seconds is 200 km/h. what is the altitude of the plane at the end of this time?
.
Convert speed from hours to seconds:
200km/h * 1h/60min * 1min/60sec = 0.0556km/sec
.
Distance traveled:
10*0.0556km/sec = .5556 km
.
Let h = height
then
sin 27 = h/.5556
h = .5556(sin 27)
h = 0.0252 km
or
h = 25.2 m