## Engineering question

### 1. (12 pts) A total station is set up over an occupied point (A). The surveyor sights a known point B, and turns an angle right of 164.5472° from point B to point C and measures the horizontal distance AC. What are the coordinates (northing, easting) of C? Draw a sketch showing the approximate locations of the three points relative to (0,0) (X/Y axis). Given: Coordinates of A: N 121.13, E 312.27 Bearing of line BA: S 51° 32’ 42” W Horizontal distance measured (AC): 314.21 ft 2. (12 pts) A total station is set up over an occupied point (C) with a known elevation of 27.61’. The surveyor turns to the prism pole at point D, aims at the prism, and takes a measurement. If the height of the instrument is 5.17’, the height of the prism pole is 6.20’, the horizontal distance CD is 54.11’, and the resulting elevation at D is 3.05’, what was the zenith angle measured? 3. (12 pts) A topographic map has a scale of 1” = 60’. If a rectangular parcel of land measures 2 ⅝” by 6 ⅝” on the map, what is the area of the parcel in square meters on the ground? 4. (12 pts) A topographic map has a scale of 1” = 20’ and contour lines at 10’ intervals. If the perpendicular distance between the 140’ elevation line and 150’ elevation line measures 1 ½” on the map, what is the horizontal distance on the ground (in feet) from the 150’ line to the (theoretical) elevation of 148’?

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20210327155659cmce2322_midterm_exam_sp2021