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G-SRT.8 Warmup M2-053-A09-V03

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

From the top of a \(60\text{-}m\) cliff, the angle of depression to a boat is \(12°\). Using the equal acute angle in the right triangle, model tangent as \(60/d\) and calculate the horizontal distance \(d\) to the nearest tenth of a meter.

Neutral depression reference listing cliff height 60 meters and depression angle 12 degrees, without a proportional triangle or horizontal distance. 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