The Tangent Ratio

Overview

The angle of the first drop on a roller coaster, the height of England's tallest sculpture and viewing a boat at sea from a lighthouse are all contexts in which the tangent ratio can be applied to solve real-life problems. Presenters Jamie and Katie show how to model these situations mathematically and demonstrate in detail how to perform calculations in the resulting right-angled triangles.

The programme aims to present the topic in a lively, interesting and entertaining style. The content is linked throughout to the requirements of GCSE Intermediate Mathematics. It includes tips for answering examination questions and a discussion of a typical exam error in the 'Tick or Trash' section. The programme shows how to draw the necessary information from a real situation so that a problem can be solved using a simple right-angled triangle and basic trigonometry. Only tangent calculations are included and the working is developed through a step-by-step approach, allowing each stage of the solution to be clearly seen. This approach is supported by clear graphic and visual explanations that help to develop the concepts covered. The content is chosen to engage the student audience, as well as to support teachers by bringing the outside world into the classroom.