Some Applications of Trigonometry
How tall is a tree, a tower or a cliff, when you cannot climb it with a tape? Stand at a distance, measure one angle, and trigonometry gives the height. Surveyors, pilots and sailors use this every day. In this chapter you turn a real scene into a right triangle, use tangent, sine and cosine to find heights and distances, and solve problems that need two triangles. Python draws the scene and solves it.
Part of Mathematics · High School (9–10) (chapter 11)
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Lines of Sight, Elevation and Depression
The line of sight, the angle of elevation and the angle of depression. Drawing a right triangle from a word problem and using one trigonometric ratio to find a height or a distance.
Heights and Distances with Two Triangles
Problems with two observation points or two objects, a tower on a building, a moving aircraft or boat, and a river or bridge to measure. Solving two equations for the height and the distance.