Ohio Resource Center
Content Supports - Activities and rich problems
Finding the Height of a Lamp Pole
Discipline
Mathematics
9, 10, 11, 12
Professional Commentary

Have students determine the height of a lamp pole, or some other large object, using trigonometric relationships. Then have students find the height of the object using just linear distance(s) and similar triangles. This mathematically rich problem was prepared by the Ohio Resource Center to accompany the Mathematics Program Models for Ohio High Schools developed by the Ohio Department of Education. (author/sw)

Common Core State Standards for Mathematics
High School - Geometry
Similarity, Right Triangles, and Trigonometry
Define trigonometric ratios and solve problems involving right triangles
HSG-SRT.C.6
Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.
HSG-SRT.C.8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Ohio Mathematics Academic Content Standards (2001)
Geometry and Spatial Sense Standard
Benchmarks (8–10)
B.
Describe and apply the properties of similar and congruent figures; and justify conjectures involving similarity and congruence.
I.
Use right triangle trigonometric relationships to determine lengths and angle measures.
3.
Use proportions in several forms to solve problems involving similar figures (part-to-part, part-to-whole, corresponding sides between figures).