29 C1 2 C1 for clear correct diagram used M Let = the height of the chimney. c = tan 53° = tan 53° x c = tan 62° 30 + = tan 62° x c = tan 62° 30 x c – M1 Combining equations 1 and 2 to eliminate M1 for correct use of trigonometry with and angle x: x, c 53° or 37° tan 53° = tan 62° 30 c c – A1 Rearrange to get on one side of the A1 for correct equation having as subject c x equation. 30 = tan 62° tan 53° c – c 30 = 62° tan 53°) M1 c(tan – M1 for correct use of trigonometry with and angle x, c = c 62° or 28° A1 = 54.182 761 m A1 for correct equation in format to combine with equation 1 M1 M1 for correctly eliminating x M1 M1 for correct equation with as subject c 54.2 m A1 A1 for correct rounding to 2 or 3 sf 8
29 Let c = the height of the chimney. = tan 53° x = c tan 53° = tan 62° 30 + x = c tan 62° x = c tan 62° – 30 Combining equations 1 and 2 to eliminate x: c tan 53° = c tan 62° – 30 Rearrange to get c on one side of the equation. 30 = c tan 62° – c tan 53° 30 = c(tan 62° – tan 53°) c = = 54.182 761 m 54.2 m C1 M1 A1 M1 A1 M1 M1 A1 2 C1 for clear correct diagram used M1 for correct use of trigonometry with x, c and angle 53° or 37° A1 for correct equation having x as subject M1 for correct use of trigonometry with x, c and angle 62° or 28° A1 for correct equation in format to combine with equation 1 M1 for correctly eliminating x M1 for correct equation with c as subject A1 for correct rounding to 2 or 3 sf M 8
Higher_Skills_Geometry_MarkScheme_Edexcel.docx