To estimate the height of an object in the sky, such as a plane, you can use a technique called triangulation. Here's a step-by-step process:
Choose two observation points: Select two different locations from where you can observe the plane. It's important that the two points are a significant distance apart, preferably several kilometers or more.
Measure the distance between the two observation points: Use a map or GPS to determine the straight-line distance between the two points. This will be referred to as the baseline distance.
Observe the plane simultaneously: Make sure both observers are looking at the plane in the sky at the same time. It's helpful if you can communicate with the other observer to coordinate your observations.
Determine the angle of elevation: Each observer should measure the angle between the horizon and the line of sight to the plane. This can be done using a clinometer, a smartphone app with an inclinometer feature, or by estimating it using your hand as a reference.
Calculate the height of the object: Use basic trigonometry to calculate the height of the object. The formula is:
Height = (Baseline distance) x tan(angle of elevation)
Ensure that the baseline distance is in the same unit as the height you want to calculate (e.g., meters or feet).
Keep in mind that this method provides an estimation and can be affected by various factors, such as the accuracy of angle measurements, atmospheric conditions, and the relative size of the object. It's also important to note that estimating the height of very small objects accurately can be challenging.
To estimate the speed of the plane, you can use the following method:
Select a reference point: Choose a stationary object on the ground that is relatively close to you. It could be a tree, a lamppost, or any other object with a known height or length.
Start timing: Begin timing as soon as the plane passes the reference point.
Stop timing: Stop timing once the plane passes another fixed point, such as a pole or a mark on the ground.
Measure the distance: Use a measuring tape or known distances (e.g., markings on a road) to determine the distance between the two fixed points.
Calculate the speed: Divide the measured distance by the time it took for the plane to traverse that distance. Ensure the time is in the same unit as the distance (e.g., meters or feet per second).
Remember that the accuracy of the speed estimation depends on the precision of your timing and distance measurement, so try to be as accurate as possible. Additionally, keep in mind that a plane's speed can vary depending on its altitude and flight conditions.