When an airplane leaves the runway, its angle of climb is 18 degrees and its speed is 275ft per second.
A. Find the plane's altitude after 1 minute.
B. How long will it take the plane to climb to an altitude of 10,000 ft? and 16,000ft?
A. After one minute. the plane has traveled 275*60 = 16500 ft
So...it's altutude is given by
16500*sin(18) = about 5098.8 ft
B. Time, t, to 10000 ft =
sin18 = 10000/ [275t ]
t = 10000/ [ 275* sin(18)] = about 117.6 sec
And the time to 16000 ft = 1.6 * time to 10000 ft = about 188.28 sec