Problem preview

G-SRT.11 Warmup M3-043-A10-V04

Apply the Laws of Sines and Cosines to find unknown measurements in right and non-right triangles.

Round and interpret a triangle measurement to explicit precision

Problem

Round a support-cable length of \(27.67~\text{ft}\) to the nearest whole foot to match the stated input precision.

Answer choices

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Truncate the decimal part and report 27 ft, ignoring that 0.67 requires rounding up.

Round to the nearest tenth and report 27.7 ft, which uses the wrong place value.

To the nearest whole foot, 27.67 ft rounds to 28 ft, matching the requested input precision.

Keep two decimal places and report 27.67 ft, which does not use the required whole-foot precision.

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Curriculum context

Course: Math III
Standard: G-SRT.11
Category: Geometry
Domain: Similarity, Right Triangles, and Trigonometry
Objective: Apply the Laws of Sines and Cosines to find unknown measurements in right and non-right triangles.
Problem type: Round and interpret a triangle measurement to explicit precision