Gravity corrections- latitude correction

AI Thread Summary
The discussion revolves around performing gravity corrections for a survey conducted at an initial latitude of 45 degrees with an azimuth of 30 degrees. The primary focus is on how to apply necessary corrections to gravity readings, particularly the latitude correction. The formula provided for latitude correction is g = -8.108 sin²(theta), where theta represents the latitude. To determine the correction for a specific distance traveled north, such as 25.98 meters, one must first calculate the new latitude based on the distance moved along the azimuth. The relationship between the distance traveled and the change in latitude is crucial for applying the correction accurately. The thread also references a Wikipedia page that contains additional equations related to gravity and latitude, which may aid in the calculations.
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i have i problem with many parts to it that the forums may be able to help me with. I've been given a scenario which involves gravity surveys along a path, in summary here it is:

a gravity survey is taken at an initial latitude of 45 degrees and has an azimuth of 30 degrees.

ive also been given a list of gravity data readings, but its not the problem. the question asks to apply necessairy corrections and i know latitude correction is one. my problem is how to determine the correction for each reading given. i know i have to draw a triangle from the start (45 degrees) and a line going out from there 30 degrees. i have found the distance I've traveled north when i travel along the azimuth.

we have been given a correction formula: g= -8.108 sin 2 theta where theta is the given degree of latitude.

at this point i am stuck. how do you find the correction for example if i move 25.98 meters in a north direction?
 
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