Explain how the height of an inaccessible object is measured by triangulation method.
Answers
The parallax method uses the fact that a triangle can be described completely with only three elements. This method of finding the values of the triangle to yield the location of an object is termed as Triangulation.
Such methods are regularly used by surveyors and architects. Triangulation the process of determining the location of a point by measuring the angles to it from two known points rather than measuring distances directly.
Parallax is the displacement or the change in the apparent position of the object when viewed from two different point of views. The two points of view have their own line of sights and parallax is measured as half of the angle between the two line of sights.
When we are traveling in a vehicle and you look around as we are moving, we will see that objects in the distances appear to move more slowly than the objects closer to us. This is the effect of parallax. Nearby objects have a larger parallax than the distant objects, so the parallax can be used to determine distances.
The phenomenon of parallax, when combined with triangulation, will yield the location of the object with considerable accuracy. Astronomers regularly use the parallax method to measure the distances of the closer stars.
Distance measurement by parallax is a special application of the principle of triangulation. From triangulation, we knew that a triangle can be described completely if two angles and side are known.
Triangulation Method
Assuming the angle ‘p’ is small, the distance to the object measured in parsecs (in terms of speed of light) is equal to the reciprocal of the parallax angle measured in arcseconds.
D(parsec)=1p(arcsec)
In order to overcome the problem of the small ratios, star parallax is most often measured using annual parallax which is defined as the difference in the position of a star as seen from the earth and sun. Instead of taking the fixed baseline as the Earth’s radius, the fixed baseline is taken as the Radius of Earth’s revolution around Earth which increases the size of the baseline therefore the top angle making it easier to measure.
Answer:
The parallax method uses the fact that a triangle can be described completely with only three elements. This method of finding the values of the triangle to yield the location of an object is termed as Triangulation.
Such methods are regularly used by surveyors and architects. Triangulation the process of determining the location of a point by measuring the angles to it from two known points rather than measuring distances directly.
Parallax is the displacement or the change in the apparent position of the object when viewed from two different point of views. The two points of view have their own line of sights and parallax is measured as half of the angle between the two line of sights.
When we are traveling in a vehicle and you look around as we are moving, we will see that objects in the distances appear to move more slowly than the objects closer to us. This is the effect of parallax. Nearby objects have a larger parallax than the distant objects, so the parallax can be used to determine distances.
The phenomenon of parallax, when combined with triangulation, will yield the location of the object with considerable accuracy. Astronomers regularly use the parallax method to measure the distances of the closer stars.
Distance measurement by parallax is a special application of the principle of triangulation. From triangulation, we knew that a triangle can be described completely if two angles and side are known.
Triangulation Method
Assuming the angle ‘p’ is small, the distance to the object measured in parsecs (in terms of speed of light) is equal to the reciprocal of the parallax angle measured in arcseconds.
D(parsec)=1p(arcsec)
In order to overcome the problem of the small ratios, star parallax is most often measured using annual parallax which is defined as the difference in the position of a star as seen from the earth and sun. Instead of taking the fixed baseline as the Earth’s radius, the fixed baseline is taken as the Radius of Earth’s revolution around Earth which increases the size of the baseline therefore the top angle making it easier to measure.
Explanation: