簡單方位角與邊長誤差傳播不同解法探討

邊長與角度，是測量定位中最常見之觀測量。由邊長與角度解算兩點之間座標差，通常稱之為正算。而由兩點座標差計算邊長與角度，則稱為反算。本文以101年特種考試交通事業鐵路人員考試之一相關試題為例，探討不同演算方式所導致之數值差異。除分析不同解法間背景思考模式，亦分別探討協變方量忽略以及有效數字之影響。 Distance and Angular measurements are the most fundamental types of observations insurveying Computing coordinates from the distance and azimuth is commonly termed as directcomputation; while reverse computation indicates deriving distance and azimuth from coordinatesThis note discusses different solution schemes for the error propagation from coordinates to azimuthA question taken from a previous government exam is used as the sample for illustration The effectfrom omission of covariance and concepts of the significant figures are also discussed

Distance and Angular measurements are the most fundamental types of observations insurveying Computing coordinates from the distance and azimuth is commonly termed as directcomputation; while reverse computation indicates deriving distance and azimuth from coordinatesThis note discusses different solution schemes for the error propagation from coordinates to azimuthA question taken from a previous government exam is used as the sample for illustration The effectfrom omission of covariance and concepts of the significant figures are also discussed