Illustration of Uses trigonometry based on triangles and circles to solve problems about length and angle measures in the ICLE's Rigor and Relevance Framework
Quadrant C

If you are given any two angle measurements and a side measurement of a triangle explain how you can find the measures of the other angle and two sides. In your explanation, defend why your method is the most efficient method.

 Quadrant D

A local concrete company is going to pour a concrete parking area. They provide estimates for the amount of concrete needed before starting a project. If the parking area is an irregular shape, the company provides estimates by dividing the area into quadrilaterals and triangles and then finding measurements. In order to save time, it is helpful to measure the least number of sides and angles by hand and to calculate mathematically the remaining measurements.
Create several different non-quadrilateral designs, divide the areas into quadrilaterals and triangles, identify the needed measurements, and decide how to calculate the remaining measurements. Use the measurements to estimate the amount of concrete needed. Be sure to take into account the depth of the concrete.
Quadrant A

Solve triangle ABC.

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A new library is being built on current city property. Part of the plan for developing the property is to include a new bridge connecting the library and the existing play area. Approximately how long will the bridge need to be?

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