Final Answer:
To determine the exact distance the plane has traveled at a height of 14,000 feet, more information is needed. The distance traveled is dependent on factors like the initial position, the angle of ascent or descent, and the time elapsed.
Step-by-step explanation:
The distance traveled by a plane at a specific height is influenced by various factors. To calculate the distance traveled, we usually need information such as the initial position of the plane, the angle of ascent or descent, and the time elapsed. The relationship between distance, height, and angle is described by trigonometric functions, particularly the tangent function in the context of right triangles.
Assuming a scenario where the plane took off horizontally and then ascended to a height of 14,000 feet, the distance traveled could be calculated using the tangent of the angle of ascent and the given height. However, without the angle or additional information, it's not possible to determine the exact distance.
To elaborate further, the tangent of an angle in a right triangle is defined as the ratio of the opposite side to the adjacent side. In the context of the plane's ascent, the opposite side is the height gained, and the adjacent side would be the horizontal distance traveled. Without the angle, we cannot accurately compute this distance.