A plane is descending at a 19° angle of depression. If the current altitude of the plane is 1,250 feet, find the distance the plane still needs to fly to reach the ground. Round the answer to the nearest foot.
Let x be the distance the plane still needs to fly to reach the ground.
We have the definition of the tangent of an angle as the opposite side divided by the adjacent side. Therefore, tan(19°) = 1,250 / x.
Multiplying both sides by x gives x * tan(19°) = 1,250.
Dividing both sides by tan(19°) gives x = 1250 / tan(19°).
Using a calculator, we find x ≈ 3755.49.
Rounding the answer to the nearest foot gives x ≈ 3755 feet. Answer: \boxed{3755}.