### Self Study: Scale

Unless otherwise indicated, express answers to a *reasonable* level of accuracy (think sig fig)

#### Problem (1)

Convert the following scale equivalencies to ratios.

(a) 1 in = 500 ft | 1 : ____________ | (c) 1 in = 6.25 miles | 1 : ____________ | |

(b) 1 cm = 100 m | 1 : ____________ | (d) 3/8"=1'-0" | 1 : ____________ |

#### Problem (2)

The distance between two property corners is 848.64 feet. What would the line's length be, in inches, on a 1:400 map?

#### Problem (3)

What is the area, in acres, of a field that is 6.59 in x 3.88 in on a 1:1000 map?

#### Problem (4)

A 1 in = 600 ft paper map has been enlarged 2.5 times. On the enlarged map, a line measures 3.75 inches long on. What is the ground length of the line?

#### Problem (5)

A surveyor has a map with an unknown scale. She identifies two distinct points on the map, a fire hydrant and center line intersection, which she can also find in the field. On the map, the distance between the two points is 7.85 inches. She measures 391.5 ft between the two points using a total station. What is the scale of the map expressed as an equivalency? 1 in = __________ ft

#### Problem (6)

To fit it in a report, a student reduces a 1:10,000 map by 55%. What is the scale of the reduced map? Express as a ratio.

#### Problem (7)

An area that is 400 ft wide by 710 feet long will be surveyed and mapped. What is the maximum engineering scale at which the map can be plotted on an 11" x 17" sheet? Express as an equivalence: 1 in = __________ ft

#### Problem (8)

For planning purposes, a client needs a topographic map at a scale of 1 inch = 30 feet. The area is approximately 450 ft x 650 ft. The map must have a margin of one inch on all four sides. What smallest ANSI sheet size can be used for the map?

Standard ANSI sheet sizes in inches are A:8.5x11, B:11x17, C:17x22, D: 22x34, E:34x44