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G-SRT.11 Warmup M3-043-A03-V03

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

Use the Law of Cosines to find a missing side when two sides and the included angle are given

Problem

\(\text{Two}~\text{ships}\) travel \(20~\text{mi}\) and \(15~\text{mi}\) from a common point with an included angle of \(110°\), as shown. Write a Law of Cosines equation for their separation.

Prompt two-ship triangle with travel distances 20 mi and 15 mi, included angle 110°, and opposite separation d unknown. Open full size
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Four variants of this problem type
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
Use the Law of Cosines to find a missing side when two sides and the included angle are given