you need
• - Roulette;
• - a plumb;
• - card;
• - level;
• - car speedometer;
• - Calculator.
Guide
1
Try to build a right angle ny Tre angle nik, mentally, using twine or strips, drawing pencil - depending on the operating conditions.The main thing is that one of the corners of the angle Thr nika 90⁰ was equal, and the inclined plane was as hypotenuse, i.e. the longest side lying opposite the right angle.
2
If possible, use the pull of the earth - is the easiest way.For example, keep an inclined line to the ground or floor, and from the top of the lower twine with a load.Measure the distance between the load and the
point of intersection of the oblique line to ground.
3
To calculate the angle of inclination river or road, determine the height difference at the beginning and end of the object.For example, the highest point is at an altitude of 100 meters above sea level, and the bottom - at the height of 40 meters (height difference is determined by the map or leveling instrument).In this example, the vertical leg is equal to 60 meters, and the length of the object is defined by the map or by using direct measurements (length of the road can be determined by car speedometer).
4
Transfer the measurements to a sheet of paper.Schematically Draw Tre angle nik, indicate the size of each side.Divide the length of the vertical leg of the length of the oblique line.The resulting number - the sine of the angle desired.Take a calculator (you can use a calculator online) and by entering the value obtained, press the arcsine (asin).You will receive angle slope in degrees.
5
Perhaps you can not calculate the length of the sloping side.In this case, divide the length of the vertical (opposing) the length of the horizontal leg (accumbens).You get the tangent of the angle of inclination , to calculate the angle in degrees, find it using the arc tangent calculator.
6
If you are working with a drawing and you need to find the slope of the line, try to determine its equation.Knowing the coordinates of two points, use the formula (x-x1) / (x2-x1) = (y-y1) / (Y1-Y2).Substitute coordinate and bring the equation to the form y = kx + b.The factor k to x - tangent of the angle of inclination line.To find tilt angle , calculate its arctangent.