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101 Questions
Lost in the City with a Clinometer
Come look at trigonometry from a different angle. To begin a simple activity, scholars view a video of someone using a clinometer to find the angle of elevation to the top of a building. They then use a diagram that shows the building's...
Curated OER
Access Ramp
Just about every public building that your students are familiar with has an access ramp which complies with ADA requirements. As it turns out, designing such a ramp is an excellent activity to incorporate slope, the Pythagorean Theorem,...
Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
GLOBE Program
Making a Sundial
Sundials are more than just primitive clocks. Learners build their own sundials to study the location of the sun across the sky throughout the day. They use shadow evidence related to their sundials to make conclusions about solar movement.
Analyze Math
Analyze Math: Applications and Use of the Inverse Functions
Learners explore applications of inverse functions. Topics investigated are angle of elevation, range, and right circular cones. The activity includes examples on uses of inverse functions in real situations with detailed solutions.
Clark University
Clark University: Dave's Short Trig Course: Tangents and Slopes
Explains what "tangent" is and its role in the right triangle. Slope of a line is investigated and tangent for special common angles is given. Angle of elevation and angle of depression are also covered here.
Exploratorium
Exploratorium: Ilion High: Build a Clinometer
Instructions for building a clinometer are given on this page. Clinometers can be used to measure the angle of elevation of a right triangle, and in turn find the height of large objects.
Texas Instruments
Texas Instruments: Solving Problems Using Trigonometry
Solving real life problem using trig ratios. Example: Finding the angle of elevation or the angle of depression. Finding the angle between two lines. Finding equation of a line that passes through two points.
Interactive Mathematics
Interactive Mathematics: The Right Triangle and Applications
Learn how to "solve" a right triangle and apply the concept to real world situations using angles of elevation and depression.
Texas Instruments
Texas Instruments: Numb3 Rs: Telling Time With the Sun
Based off of the hit television show NUMB3RS, this activity is a very basic introduction to the tangent function and it's applications (such as measuring distances). Through this lesson, students will learn the definition of the tangent...
Windstream
Ojk's Precalculus Study Pages: Solving Right Triangles
An introduction to all six trigonometric function in the setting of right triangles. This tutorial begins with the six definitions and goes through applications involving angles of elevation and angles of depression. Includes several...