To find the height of the plane, we can use trigonometry.
The angle of depression, 12 degrees, is the angle formed between the line of sight from the plane to the island and the horizontal plane.
We can form a right triangle with the island as the vertex of the right angle, the line of sight from the plane to the island as the hypotenuse, and the height of the plane as the opposite side.
Let's call the height of the plane "h" and the distance from the plane to the island "d". We are given that d = 4,812 meters.
Using trigonometry, we have:
tan(12 degrees) = h / d
tan(12 degrees) = h / 4812
To find h, we can multiply both sides of the equation by d:
h = 4812 * tan(12 degrees)
Using a calculator, we find:
h ≈ 1023 meters
Therefore, the height of the plane is approximately 1023 meters.
A pilot flying over the Gulf of Mexico sees an island at an angle of depression of 12 degrees. At this time the horizontal distance from the airplane to the island is 4,812 meters. What is the height of the plane to the nearest meter? (1 point) Responses 1023 meters 1023 meters 1215 meters 1215 meters 823 meters 823 meters 4455 meters
1 answer
1 answer