Using least squares method, determine the adjusted value of angle A?

The least squares method is a statistical technique often used in geodesy for adjusting measurements to minimize the sum of the squares of the residuals (the differences between observed and computed values). In the context of determining an adjusted value of an angle, the least squares method allows for the incorporation of multiple observations and their corresponding uncertainties.

To calculate an adjusted angle, one typically gathers several measurements of that angle and uses the least squares adjustment formula. This involves calculating a weighted average of the measured angles based on their precision and then adjusting the values to minimize errors.

In this scenario, the correct answer of 69°59'14" indicates an angle that has likely been calculated through this adjustment process, taking into account various observations and any potential systematic errors. It reflects a precise and reliable value derived from using the least squares adjustment method, which is fundamental in geodetic engineering for ensuring accuracy in angular measurements. By choosing this option, it suggests that the computations have been correctly performed, leading to the most accurate estimate of angle A based on all available data.