A plane taking off leaves the runway at 32º to the horizontal, travelling at 180kmh-1
.
How long will it take to climb to an altitude of 1000m?
The VERTICAL component of the 180 km/hr @ 32 degrees will be:
180 sin (32) = 95.385 km/hr
Now:
1000m = 1 km
1 km / 95.385 km/hr = .0105 hr = .629 min = 37.74 sec