An airplane pilot over the Pacific sights an atoll at an angle of depression of 7°. At this time, the horizontal distance from the airplane to the atoll is 3,729 meters.

1 answer

To find the vertical distance from the airplane to the atoll, we can use trigonometry, specifically the tangent function.

tan(7°) = vertical distance / 3,729
vertical distance = 3,729 * tan(7°)

vertical distance ≈ 464.35 meters

Therefore, the vertical distance from the airplane to the atoll is approximately 464.35 meters.