Math Problem Statement
Two docks are located on an east-west line 2586 ft apart. From dock A, the bearing coral reef is 63°28'. From dock B, the bearing of the coral reef is 333°28'. Find the distance from dock A to the coral reef.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Bearings
Right Triangles
Formulas
Law of Sines: (a/sinA) = (b/sinB) = (c/sinC)
Bearing calculation: θ = (bearing from B) - (bearing from A)
Right triangle property: sum of angles = 180°
Theorems
Law of Sines
Triangle Angle Sum Theorem
Suitable Grade Level
High School (Grades 10-12)
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