angle of depression

简明释义

眼高差

英英释义

例句

1.The engineer needed to know the angle of depression 下视角 for the cable-stayed bridge design.

工程师需要知道该斜拉桥设计的下视角。

2.The surveyor used a theodolite to determine the angle of depression 下视角 to the water's surface.

测量员使用经纬仪来确定水面到下视角。

3.The pilot calculated the angle of depression 下视角 to ensure a safe landing.

飞行员计算了下视角以确保安全着陆。

4.To find the height of the building, we measured the angle of depression 下视角 from the top of the hill.

为了找到建筑物的高度，我们从山顶测量了下视角。

5.In navigation, sailors often calculate the angle of depression 下视角 to spot land from a distance.

在航海中，水手们常常计算下视角以便远距离发现陆地。

作文

The concept of the angle of depression is a fundamental idea in trigonometry and is often applied in various fields such as engineering, architecture, and even navigation. The angle of depression refers to the angle formed between the horizontal line from an observer's eye to an object that is lower than the observer. Understanding this concept not only helps in solving mathematical problems but also in practical applications in real life. To illustrate, consider a scenario where a person is standing on top of a hill and looking down at a car parked at the base of the hill. The line of sight from the person's eyes to the car creates an angle of depression with respect to the horizontal line extending straight out from the person's eyes. If we were to measure this angle, we would find that it is crucial for determining the height of the hill or the distance to the car using trigonometric ratios.In practical terms, if the height of the hill is known, and the distance from the base of the hill to the car is measured, one can use the angle of depression to calculate how far away the car is from the base of the hill. This is done using the tangent function, where the tangent of the angle of depression equals the opposite side (the height of the hill) over the adjacent side (the distance from the base of the hill to the car). Moreover, the angle of depression is not limited to just hills and cars. It can be applied to various situations, such as determining the height of buildings, analyzing the trajectory of objects in motion, or even in creating designs for bridges and towers. For instance, engineers often need to calculate the angle of depression when designing structures that must account for gravitational forces and stability. Similarly, pilots might use this concept when calculating their descent angle during landing approaches. Understanding the angle of depression also has implications in fields like astronomy. Astronomers often observe celestial bodies from the surface of the Earth and must take into account the angle of depression when calculating distances to stars or planets. This angle plays a critical role in triangulating positions in space, which is essential for navigation and exploration. In conclusion, the angle of depression is much more than just a term used in mathematics; it is a vital concept that permeates various aspects of science and engineering. By grasping the significance of the angle of depression, one can appreciate its applications in both theoretical mathematics and practical scenarios. Whether it's measuring distances, designing structures, or exploring the universe, the angle of depression serves as a key tool that enhances our understanding of the world around us. In summary, the angle of depression (俯角) is an important concept that connects mathematics with real-world applications, helping us solve problems and make informed decisions in various fields.

俯角是一个基本的三角学概念，常常应用于工程、建筑甚至导航等多个领域。angle of depression（俯角）指的是观察者的视线与水平线之间形成的角度，当观察者看向低于其眼睛高度的物体时就会产生这种情况。理解这一概念不仅有助于解决数学问题，也对现实生活中的实际应用至关重要。例如，考虑一个场景：一个人站在山顶上，向下看一辆停在山脚的车。观察者的视线与水平线之间形成的角度就是angle of depression。如果我们测量这个角度，就会发现它对于确定山的高度或车与山脚的距离非常关键，且可以使用三角比来计算。在实际情况下，如果已知山的高度，并且测量出山脚到车的距离，就可以利用angle of depression来计算车距离山脚的远近。这是通过正切函数实现的，其中angle of depression的正切值等于对边（山的高度）与邻边（从山脚到车的距离）的比值。此外，angle of depression并不仅限于山和车的场景。它可以应用于多种情况，例如确定建筑物的高度、分析运动物体的轨迹，甚至在桥梁和塔楼的设计中。比如，工程师在设计必须考虑重力和稳定性的结构时，经常需要计算angle of depression。同样，飞行员在降落时计算下降角时也可能会用到这个概念。理解angle of depression在天文学等领域也有重要意义。天文学家经常从地球表面观察天体，在计算距离星星或行星时，必须考虑angle of depression。这个角度在空间定位三角测量中发挥着关键作用，对于导航和探索至关重要。总之，angle of depression不仅仅是数学中使用的术语；它是一个重要的概念，渗透到科学和工程的各个方面。通过掌握angle of depression的意义，人们可以欣赏它在理论数学和实际场景中的应用。无论是测量距离、设计结构，还是探索宇宙，angle of depression都是增强我们理解周围世界的关键工具。总而言之，angle of depression（俯角）是一个重要的概念，它将数学与现实世界的应用联系起来，帮助我们在多个领域解决问题并做出明智的决策。