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G-SRT.8 Warmup M2-053-A09-V02

Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.

Solve one scalar elevation/depression target with units and precision

Problem

An observer stands \(100~m\) horizontally from a tower and measures a \(25°\) angle of elevation. Model tangent using tower height \(h\) and the \(100\text{-}m\) adjacent side, then calculate \(h\) to the nearest tenth of a meter.

Neutral elevation reference listing horizontal distance 100 meters and elevation angle 25 degrees, without a proportional triangle or tower height. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
G-SRT.8
Category
Geometry
Domain
Similarity, Right Triangles, and Trigonometry
Objective
Use trig ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Problem type
Solve one scalar elevation/depression target with units and precision