Rational geometry eliminates trig function calculations

This EE Times article describes a rational representation of angles with which, the system's inventor claims, all the familiar engineering calculations that currently require tables or a calculator can be done with simple arithmetic. To elaborate,

His approach drops the definition of distance, which requires the use of square roots, and instead uses the unit he calls quadrance, which compensates for irrational numbers by squaring all distances. Wildberger's second innovation is to define a degree of spread between two intersecting lines by using quadrances instead of angles. Combining quadrances and spreads, in place of distance and angles, yields rational trigonometry.