Answer:
The average change in altitude of the hot air balloon is approximately 326.16 feet.
Step-by-step explanation:
To find the average change in altitude of the hot air balloon, we first need to calculate the vertical and horizontal distances the balloon has traveled.
From the information given, we know that the horizontal distance the balloon has traveled is 255 feet and the angle of elevation is 52 degrees.
Using trigonometry, we can calculate the vertical distance (change in altitude) as follows:
Vertical distance = Horizontal distance * tan(angle of elevation)
Vertical distance = 255 * tan(52)
Vertical distance ≈ 255 * 1.2799
Vertical distance ≈ 326.16 feet
Therefore, the average change in altitude of the hot air balloon is approximately 326.16 feet.
