Math Problems I [0:44]

Joseph V.R. Paiva PhD, PS, PE

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We begin with equation manipulation, using for our example problems a general equation where the unknown x is found in the denominator of a term on the right-hand side of the equals sign. We then move on to recognizable functions used in surveying, but we solve for something other than the variable represented by the term on the left-hand side of the equation. We now introduce the terms sine, cosine, and tangent and use right triangles and scalene triangles to illustrate what these trig functions can be used to solve. Radians as a basic unit of angle measure is discussed to enable the learner to better deal with textbooks on mathematics. We then focus on angle conversion and the use of the calculator to determine the trigonometric function values for various angles expressed in degrees, minutes, and seconds. Running time 44 minutes.

You will learn…

  • Basic surveying terms that the learner will be aware of but now expressed as concepts in geometry
  • The geometric descriptions of bearings, azimuths, and height
  • Further expansion of cartesian coordinates in two or three axes to begin the process of understanding coordinate geometry
  • The geometric connection between cartesian coordinates and polar coordinates
  • Solving for numeric values given an equation with trigonometric functions

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