A plane leaves the airport in Hong Kong and flies 74.3 km at 57.7 degree east of north (east of north means the direction is between east and north directions and the angle given is between the vector and the north direction) and then changes direction to fly 53.6 km at 16.9 degree south of east, after which it makes an immediate emergency landing. What is the distance in km between the emergency landing site and the airport?

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Control Survey and Geodetic reductions

Control surveys or survey controls are used to establish reference points as a basis for various construction activities. Vertical and horizontal control points are to be established in a control survey to increase accuracy. After establishing the control points, all other types of surveys such as topographic, right-of-way, aerial mapping, construction layout, boundary surveys, and utility mapping can be worked upon so that control networks can be formed. The place from which the observations are made is called a survey station.