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G-SRT.6 Warmup M2-051-A10-V04

Define trigonometric ratios for acute angles using right-triangle similarity.

Choose and interpret a contextual trig ratio

Problem

A staircase rises \(7~\text{in}\) over a horizontal run of \(10~\text{in}\). Form \(\tan(θ)\) as rise over run and interpret the ratio as vertical inches per horizontal inches.

Prompt diagram of a staircase forming a right triangle, with reference angle theta at floor level, vertical rise 7 inches, horizontal run 10 inches, and the stair stringer as the hypotenuse. The trig ratio is withheld. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.6
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Define trigonometric ratios for acute angles using right-triangle similarity.
Problem type
Choose and interpret a contextual trig ratio