Final answer:
The jet gains approximately 342.02 meters when it moves 1000 meters through the air.
Step-by-step explanation:
To calculate how much the jet gains when it moves 1000 meters through the air, we need to determine the vertical distance it climbs during that time. Since the jet is capable of a steady 20° climb, we can use trigonometry to find the height gained.
By using the sine function, we can calculate the vertical distance gained by multiplying the horizontal distance (1000 meters) by the sine of the angle (20°):
Vertical distance gained = 1000 * sin(20°)
So the jet gains approximately 342.02 meters when it moves 1000 meters through the air.