Answer
The height of the plane at that time is 1.1 miles
The distance of the plane's path is 10.1 miles
Step-by-step explanation
The situation models a right angle triangle as shown below
Using trigonometric ratio,
tan 6° = opposite / adjacent
The opposite side of the triangle is the height of the plane. The distance traveled horizontally is the adjacent side. Therefore,
The height of the plane at that time ≈ 1.1 miles
The hypotenuse of the triangle formed is the distance of the plane path.
Therefore, this distance can be calculated using Pythagoras rule as follows:
The distance of the plane's path = 10.1 miles