Math Problem Statement
a ship leaves the port of miami with a bearing of s70e and a speed of 15 knots. after 1 hr, the ship turns 90 degrees toward the south. after 2 hours, maintaining the same speed, what is the bearing to the ship from port?
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Vectors
Bearings
Formulas
Southward displacement: Distance × cos(angle)
Eastward displacement: Distance × sin(angle)
Final bearing: tan⁻¹(Eastward displacement / Southward displacement)
Theorems
Right Triangle Trigonometry
Suitable Grade Level
Grades 10-12
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