Question

when we need to measure distance along a curved line we first make the two points whose distance is to be measured



true or false​

Answer 1

Explanation:

It depends entirely upon your needs and your technology.

Over short distances, both distances will be about the same. Over longer distances, it depends upon your needs. Are you building a pipeline? It follows the curve of the Earth, therefore its length will be along the curve. Do you want the straight-line distance between the two points, for a large-scale astronomical observation, even if it goes through the Earth? Calculate the straight-line distance.

If you locate the two end-points using GPS (with geocentric X, Y, Z) and calculate the distance using the Euclidean distance metric (Pythagoras theorem), then you get the straight-line distance. If you convert the end-points’ locations to latitude and longitude, then you can calculate the great circle distance between them (assuming a spherical model of the Earth), or use rather more complex formulae (long-line geodetic formulae, such as Rudoe’s Formula, assuming an ellipsoidal model of the Earth) to get the distance along the curved surface.

If you measure the distance using some kind of electronic distance measurement (EDM) equipment, then atmospheric refraction causes you to measure a curved path. The amount of curvature depends upon the wavelength of the EDM carrier, but the radius of curvature is about 8 times the radius of the Earth for light and near infrared, and about 4 times the radius of the Earth for microwaves.

If you measure the distance with a tape, then you will tend to follow the curve of the Earth over longer distances, assuming you correct for local terrain effects (like slope).

HOPE IT HELPS YOU...

GooD MorNinG

Answer 2

For the measuring of length of a curved surface, first take the measure of length using a thread and then find out the numerical value of that length of thread using scale. This numerical value will give the length of the curved surface. Thus, both thread and scale are used to find out the length of a curved surface.