Calculation of a tilt angle can be necessary for the solution of various tasks – calculation of a bias of a roof, a table-top, installation of solar panels, the antenna, pipes, etc. Besides, quite often a tilt angle it is necessary to find on the drawing – it can be a straight line inclination in relation to the plane, a tangent tilt angle, etc. Anyway, the algorithm of search is identical to any task.
It is required to you
- - roulette;
- - plumb;
- - card;
- - level;
- - automobile speedometer;
- - calculator.
Instruction
1. Try to construct a rectangular triangle, mentally, by means of laths or a cord, on the drawing a pencil - depending on working conditions. The main thing that one of corners of a triangle was equal 90 ⁰, and the inclined plane appeared as a hypotenuse, that is the longest party lying opposite to a right angle.
2. If there is an opportunity, use terrestrial gravitation - it is the easiest way. For example, continue the inclined line to the earth or a floor, and from the top point lower a cord with cargo. Measure distance between cargo and a point of intersection of the inclined line with the earth.
3. To calculate a tilt angle of the river or road, define height difference at the beginning and the end of an object. For example, most high a point lies at the height of 100 meters above sea level, and lower – at the height of 40 meters (determine height difference by the card or a level). The vertical leg will be equal in the given example 60 meters, and determine length of an object by the card or by means of direct measurements (length of the road can be determined by means of an automobile speedometer).
4. Transfer results of measurements to the sheet of paper. Schematically represent a triangle, designate the size of each party. Divide length of a vertical leg into length of the inclined line. The received number – a sine of a required corner. Take the calculator (it is possible to use the calculator online) and, having entered the received value, press the button an arcsine (asin). You receive a tilt angle in degrees.
5. Perhaps, you do not manage to calculate length of the inclined party. In that case divide length of a vertical (opposite) leg into length of horizontal (adjacent). You receive an inclination tangent of angle, for calculation of a corner find its arctangent by means of the calculator in degrees.
6. If you work with the drawing and you need to find a straight line inclination, try to define its equation. Knowing coordinates of two points, use a formula (x-h1) / (h2-h1)= (at-u1) / (u2-u1). Substitute coordinates and lead the equation to a look at =kx+b. K coefficient before x – a straight line inclination tangent of angle. To find a tilt angle, calculate its arctangent.