A). It is necessary to lay out and mark a point D exactly 150.00 m distant from point C for a construction project. A steel tape with an actual length of 30.01 m is used. What should be the distance measured from C to accurately set the mark for point D? (Assume normal tension is used, and no temperature correction is required.)

B). A distance is measured through mountainous terrain and found to be 5182.40 ft. If on the average a plumb bob is used every 50 ft with a probable error of ±0.02 ft, what is the probable total error in the whole distance?

C).A steel tape with a standardized length of 30.009 m is used to

measure a distance on a slope, and a distance of 123.456 m is recorded. The average

temperature at the time of measurement is 25° C, and the vertical distance between the

endpoints of the line is 7.25 m. What is the actual horizontal distance between the two

points? (Assume normal tension is used.)

D). A distance is measured along a 9°48' slope and found to be 773.52 ft. What is the

horizontal distance measured?

E). Chapter 4, Problem 19. An old and worn 50-ft woven cloth tape is used to lay out and

mark the corners of a 75.0 x 150.0 ft building. It is later found that the actual tape length

was 50.15 ft. What dimensions were actually laid out for the building?