RATIOS, PROPORTIONS, ROOTS, AND POWERS
In this lesson, you will learn how to use mathematics.
TERMINAL LEARNING OBJECTIVE:
You will learn how to use ratios, proportions, roots, and powers.
You will be given the material contained in this lesson.
You will correctly answer the practice exercise questions at the end of this lesson.
REFERENCES: The material contained in this lesson was derived from TM 5-232, FM 5-233,
NAVEDTRA 10696, and CDC 3E551A.
Surveying operations require that you have a thorough understanding of mathematics to complete even
the simplest surveying task. The fact that a calculator may accompany you on a survey mission does not
excuse you from applying your knowledge of mathematics. As a surveyor, you need to know
mathematics and must be able to make all the necessary computations in the following broad areas:
Doing various kinds of field computations that are required to determine accurate lengths,
geographic positions, and horizontal and vertical angles, as well as curves, grade lines,
elevations, and earthwork volumes.
Reviewing and checking all field data and values for completeness and accuracy.
In addition to the simple elements of mathematics, higher or more difficult forms of "math" are needed
in surveying operations. In this lesson, you will refresh your understanding of ratios, proportions, roots,
and powers. In the following lessons, you will study the more advanced branches of mathematics, such