In surveying, a traverse is the measurement of a polygonal region, made in a series of legs, or line segments. The end of one leg is the start of the next, so the end of the final leg should connect with the beginning of the first leg. When this happens, the traverse is said to “close.” The traditional way to check the accuracy of a closed traverse is to measure the interior angles turned at each point and compare the sum of their measures to (n − 2)180°.
a. A survey party traversed a boundary of a proposed timber sale that contained five sides. The interior angles formed were 141°32ʹ, 78°17ʹ, 63°25ʹ 97°10ʹ and 159°36ʹ. Determine the error, if any, in this traverse.
b. A closed traverse with six sides has interior angles of 109°28ʹ, 92°15ʹ, 136°46ʹ, 112°53ʹ 145°35ʹ, and 121°8ʹ Determine the error, if any, in this traverse.
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