2D geometric models

The  exercise appears under the Geometry Math Mission. This exercise explores applications of two-dimensional models to real-life situations.

Types of Problems
There are two types of problems in this exercise:


 * 1) Use the description and known formulas to find the answer: This problem describes a context-driven situation involving geometric shapes. The student is asked to find the correct answer and select it from a multiple choice list.2dgm1.png
 * 2) Select the best shape to use as a model: This problem describes a situation that needs to be modeled. The student is asked to determine what geometric shape would be most appropriate to model the situation.2dgm2.png

Strategies
Knowledge of various geometric shapes and confidence with word problems are encouraged to ensure success on this exercise.
 * 1) The area of a circle is $$\pi r^2$$ and the area of an ellipse is $$\pi ab$$.
 * 2) The area of a trapezoid is $$\frac{1}{2}(b_1 +b_2 )h$$.
 * 3) The distance to the horizon on the planet Earth is approximately $$3.57\sqrt{h}$$ kilometers where h is in meters.
 * 4) The distance to the horizon on the planet Earth is approximately $$1.22\sqrt{h}$$ miles where h is in feet.

Real-life Applications

 * 1) The problems in this exercise generally are real-life applications of 2d geometric models.