Math Problem Statement
Point 1 N = 10123.56 E = 10156.92 Point 2 N = 9905.56 E = 9923.57 Compute the coordinates of a point located 309.92 ft. from point 1 at a clockwise horizontal angle of 312 d 46’ 23” from a line from 1 to 2. Help – inverse coor. to get azimuth 1 to 2. Add angle to that azimuth. Compute coor.
Solution
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Math Problem Analysis
Mathematical Concepts
Trigonometry
Azimuth Calculations
Coordinate Geometry
Formulas
Azimuth (from point 1 to 2): tan^(-1)(ΔE/ΔN)
New Azimuth: (Azimuth 1 to 2) + (Angle in Decimal Degrees)
ΔN = distance × cos(New Azimuth)
ΔE = distance × sin(New Azimuth)
Theorems
Inverse Tangent (arctan) for Azimuth Calculation
Pythagorean Theorem in Trigonometric Distance Calculations
Suitable Grade Level
College-Level (Surveying or Advanced High School Mathematics)
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