Final answer:
The vertical component of the aircraft's velocity can be found by multiplying the total velocity by the sine of the angle of climb.
Step-by-step explanation:
When an aircraft is climbing at an angle to the horizontal, we can use trigonometry to determine its vertical and horizontal components of velocity. In this case, the angle of climb is 30 degrees. The vertical component of velocity can be found by multiplying the total velocity by the sine of the angle.
For example, if the total velocity of the aircraft is 100 mph, then the vertical component of velocity would be 100 mph * sin(30 degrees) = 50 mph.
Therefore, the vertical component of the aircraft's velocity is 50 mph.