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G-SRT.8 Warmup M2-053-A10-V03

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

Solve a structure problem with separate length and angle fields

Problem

A cable makes a \(60°\) angle with the ground and reaches \(20~\text{ft}\) vertically. Treat \(20~\text{ft}\) as opposite and cable length \(L\) as the hypotenuse, form the sine equation, and solve for \(L\) exactly and to the nearest tenth.

Neutral support-cable reference listing vertical reach 20 feet and ground angle 60 degrees, without a solved triangle or cable length. 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 a structure problem with separate length and angle fields