Hello,
When the plane lands, the height of the airplane is 0 (the plane is at ground level).
So, we are given the equation for the height, and are asked to solve for time. We know that the height is 0, so we can set the given equation equal to 0 and solve for t.
Doing this, we have:
0 = 22000 + (-480t)
Subtracting by 22000 on both sides, we get:
-22000 = -480t
Dividing by -480 on both sides, we get:
t = 45.8333
However, we should check our answer to make sure it checks out:
22,000 + (-480 * 45.8333) = 0
0 = 0, checks out.
It takes around 45.8333 minutes for the plane to land, which can be rounded to 46 minutes.
Hope this helps!