# paper: Math Quiz 4

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Math Quiz 4
by: Ether

A think-outside-the-box math challenge

Problem Statement

1) Using only half a dozen or so simple trig and geometry steps, set up a relation T(DR,DL,OL,DEoverDF,DH)=0 which can be numerically or graphically solved for DH, if given values for the other variables in the problem statement.

2) Using only high-school-freshman math and the 4 basic arithmetic operations (+ - * /), set up a relation A(DR,DL,OL,DEoverDF,DH)=0 which can be numerically or graphically solved for DH, if given values for the other variables in the problem statement.

3) Find an explicit solution DH=f(DR,DL,OL,DEoverDF) which uses only add, subtract, multiply, divide, and square root operations.

Solution1 (Trig & Geometry)

Solution1 Plot

Solution1 Excel numerical root finder

Solution2 (Cartesian coordinates)

Solution2 Plot

Solution2 Excel numerical root finder

Solution3 explicit solution

Solution3 Excel numerical root finder

Plotting and Root Finding with Maxima

Solution2.pdf (19.5 KB)

Solution1.pdf (18.6 KB)

Solution1.xls (15 KB)
Solution2.xls (15 KB)
Plotting and Root Finding.zip (62.9 KB)
Solution3.xls (14 KB)