To find the angle of descent of the plane, we can use trigonometry, specifically the tangent function. The angle of descent is the angle formed between the horizontal ground and the line representing the descent of the plane.
1. First, we need to determine the difference in height the plane descends. This is given as 1500 feet.
2. Next, we calculate the slope of the descent, which is the ratio of the height descended (opposite side) to the horizontal distance covered (adjacent side). This ratio is calculated as 1500 feet (height) divided by 9000 feet (distance).
3. Now, we have the slope of the descent. To find the angle of descent, we use the tangent function. The tangent of an angle is equal to the opposite side divided by the adjacent side. In this case, it is 1500 feet divided by 9000 feet.
4. Finally, to find the angle itself, we take the arctangent (inverse tangent) of this ratio. This will give us the angle of descent that the plane needs to follow to land smoothly on the aircraft carrier.
By following these steps and performing the calculations, you will be able to determine the angle of descent of the plane accurately.
