A pilot flying over the Gulf of Mexico season island at an angle of depression of 12°. At this time the horizontal distance from the airplane to the island is 4812 m what is the height of the plane to the nearest meter
In this problem, we can consider the angle of depression as the angle formed between the horizontal line (viewed from the plane) and the line of sight from the plane to the island.
We can use trigonometry to find the height of the plane. Let h be the height of the plane.
According to the given information, we have the following trigonometric relationship:
tan(12°) = h/4812
Using the tangent function, we can solve for h:
h = 4812 * tan(12°)
Using a calculator, we find:
h ≈ 1047.36
Therefore, the height of the plane is approximately 1047 meters (to the nearest meter).