Answer :
Final answer:
The height of the door is approximately 10.724 feet.
Explanation:
To determine the height of the door, we can use trigonometry and the given angles of elevation. Let's consider the triangle formed by the floor, the door, and the line of sight to the top of the door.
Since we know the angle of elevation to the door is 47 degrees, we can use the tangent function to calculate the height of the door. Let's denote the height of the door as 'x'.
Tan(47) = x/10ft
x = 10ft * tan(47)
x ≈ 10ft * 1.0724
x ≈ 10.724ft
Therefore, the height of the door is approximately 10.724 feet.
