Curated OER
Geometry of Exploration: Eyes Over Mars
Pupils research how engineers and scientists generate linear and angular measurements with geometry to survey the Earth and Mars. They assess how geometric shapes affect navigation. A surveyor comes to the classroom and explains how he...
Curated OER
Atmospheric Shielding from Radiation I
In this radiation worksheet, students calculate the distance of a satellite in orbit to determine the placement of a radiation detection device. This worksheet has 2 problems to solve.
Curated OER
Wave Equations
Students manipulate a model of a wave in order to solve the wave equation in 1 dimension. By using a model of a wave on a string the student is able to change the tension, length, and mass of the string as well as fix either end of the...
Curated OER
Ride on a Slide
Students investigate gravity and engineering by participating in a slide building experiment. In this early physics lesson plan, students utilize cardboard boxes to create a model of a children's slide. Students analyze the...
Curated OER
Navigation
Students study the basic methods for finding one's position on Earth. Latitude can be deduced from the height above the horizon of the pole star or of the noontime Sun, while longitude requires an accurate clock giving universal time.
CK-12 Foundation
Ck 12: Trigonometry: Angles of Elevation and Depression
[Free Registration/Login may be required to access all resource tools.] Find distance using right triangles and angles of elevation or depression.
Khan Academy
Khan Academy: Angles of Elevation and Depression
Learn what the terms angle of elevation and angle of depression mean. The words may be big but their meaning is pretty basic!
Purple Math
Purplemath: Angles of Inclination and Declination
Explains the terminology for angles of elevation, depression, inclination, and declination. Demonstrates how to 'translate' exercises into triangles and equations.
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.
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.
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.
Other
Elms Environmental Education Center: How to Use a Clinometer
Offers instructions in how to use a clinometer, an instrument used by foresters for measuring angles in order to determine the height of a tree. The mathematics behind a clinometer is also explained.
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...
CK-12 Foundation
Ck 12: Geometry: Trigonometry Word Problems
[Free Registration/Login may be required to access all resource tools.] Use trigonometry to solve word problems.
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...
McGraw Hill
Glencoe Mathematics: Quiz on the Application of Trigonometric Functions
The online assessment demonstrates knowledge of advanced mathematical concepts in Algebra II. The questions test students on the application of trigonometric functions.
Other
Instructables: Using a Clinometer to Measure Height
Explains step by step, supported by pictures, how to use a clinometer to measure the height of a tall object.
CK-12 Foundation
Ck 12: Trigonometry: Pythagorean Theorem for Solving Right Triangles
[Free Registration/Login may be required to access all resource tools.] This lesson applies the trigonometric ratios and their inverses to real-life situations.