The angle of depression refers to the angle between an object and the horizontal line of sight. This angle is measured with a graph and is called the angle of tilt. An object that sits straight up on the table is at zero degrees from the angle of depression, while objects that are curved are tilted up. For example, an imaginary object is sitting on the table at an angle of -angles of depression equal one radii.
The angle of tilt can be calculated using the formula: T/D where T is time (distance traveled) D is distance (distance remaining) T angles are right angles. T is divided by the tangent of the triangle formed by the vectors T and D to get the tangent of the circle. The other components are usually just zero. The formula is often used in calculating angles of banking. Banking is a normal function of angle of depression.
An object that is lying along a horizontal surface is parallel to the viewing angle and therefore represents a right triangle. It can be seen as a straight line through the origin. So angle of depression converts a horizontal plane into a right triangle. It turns the vertical from a curved angle to a normal angle and thus transforms angles of attack from right to left.
If the angle of depression were zero, then an object could be viewed from any direction and be at any height. However, we must always take into account that the angle of attack varies with height. Thus, if the horizon is higher than the plane, then the angle of attack will be longer than when the horizon is lower. Thus, we find that the definition of angle of attack varies as the angle of the horizon varies. Thus, for measuring angles of climb it is necessary to define the angle of attack on a vertical surface.
If the object has no horizontal distance between the x-axis and reference point, then it is called a right angle of attack. Thus, the angle of equilateral triangles is formed by the horizontal distance from the point A to the right angle of attack, and the vertical distance from the point B to the left angle of attack. The equilateral triangle is formed by the equator to the left of the point A, and the parallels, which are the straight lines connecting the points A to B, to the right angle of attack.
There are five basic formulas to calculate these angles. The first is the formula of straight lines, which is derived by dividing the angle of attack by the horizontal distance between points A and B, and multiplying this by the horizontal distance between points C and D. This formula can be used if the equilateral triangle is formed by the equator to the right angle of attack and parallels to left angle of attack. The second formula is the formula of radii, which can be used when the equilateral triangle formed by the equator to the left of the point A and parallels to the right of point B are not curved. The third formula is the formula of elements of radius, which can also be used if the equilateral triangle is not curved. The last formula is the formula of ratios of tangent and circumference, which can be used to calculate the angles of attack.
These formulas are very useful when calculating the angles of attack. The tangent and arctangent of these angles form the tangent-arctangent angle, which give the elevation, horizontal distance and vertical height of an object. Using these angles, one can find the slopes of the lateral surface of the triangle. For example, if the triangle is shaped like a triangle with one side of one point inside the other at an angle of 30o, the equation of the tangent and arctangent would give the slope of the hypotenuse.
The observer must know the value of the angle of depression when drawing a horizontal line through the point P on the map. If this angle is negative, then the observer has to east or west to north. Similarly, if the angle of depression is positive, then the observer must north or south to east or south to north. In other words, the observer has to orient himself (or herself) to the negative slope of the imaginary line through P. Hence, to arrive at the value of the angle of depression, one just needs to subtract the angle of east or west from the east-west (or north-south) direction of the imaginary line. To get the same angle of latitude in the opposite way, one just needs to add the angle of north.
Comments
Post a Comment