Measuring the World with Trigonometry

Measuring the World with Trigonometry: Algebra/Geometry 3 Students Take Learning Outside

On a sunny afternoon at Pacific Ridge, students in Algebra/Geometry 3 and Honors Algebra/Geometry 3 were “in the field” around campus. Armed with hand-made clinometers, they put trigonometry into practice, calculating the heights of buildings, flagpoles, lightposts, and trees using the mathematical relationships they have been studying in class.

A clinometer is a tool that is used to measure the angle of elevation, or the angle from the ground, in a right-angled triangle. With this tool, students can determine the height of objects that would otherwise be impossible to measure directly by combining angle measurements with distance calculations.

“This hands-on activity was a great way for students to develop and apply their understanding of right triangle trigonometry. Taking measurements, drawing diagrams, and calculating angles and distances in real time gives students a way to see and remember mathematical relationships,” said math teacher Krista Tokarz.

Beyond reinforcing mathematical concepts, the experience also emphasized collaboration and perseverance as students worked through challenges together.

“My favorite part of teaching math is seeing students make connections, work together, and rise to meet the challenges they are presented with throughout the year. The growth I see in the students over the course of the year is profound,” Tokarz shared.

For Tokarz, projects like this reflect the larger goals of mathematics education: helping students build confidence in their abilities and appreciate the beauty of mathematical thinking.

"I hope students see themselves as capable mathematicians, gain an appreciation for mathematical relationships, and realize how fun and satisfying problem solving can be."

Teacher Spotlight

Krista Tokarz has been teaching math at Pacific Ridge for the past 6 years. Prior to PRS, she taught at the University School of Milwaukee and spent 12 years at Marin Academy in San Rafael, California, where she taught courses ranging from Advanced Algebra 1 to Calculus. 

Tokarz earned her B.A. in mathematics, summa cum laude, from Boston College and later completed an M.B.A. in marketing research from the University of Wisconsin–Madison.

“I value the relationships with have with our students at PRS and appreciate the student-centered nature of our academic program, which allows students to think, explore, and work together to build their understanding of the concepts we are studying.”

Through projects like the clinometer activity, Tokarz and the mathematics department continue to create opportunities for students to experience math as a dynamic and engaging discipline – one that connects the classroom to the world around them.

Hear from Krista Tokarz and alumnus Connor about personalized challenge and support with a curriculum designed to spark curiosity and purpose.