12. Please convert the following scales to numeric ratio scales, showing your calculations: a) one inch to 3500 feet; b) one centimeter to 22 kilometers. (1 point) 13. A landform is 8 em long on a map and is 213 km long in the real world. What must the ratio scale of the map be? (i.e., in the ratio 1:X, what is X?). (1 point)

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valetta valetta · Answer 1 · 2019-10-14T11:11:36+02:00

Answer:

12.

a) scale = [tex]\frac{\textup{1}}{\textup{43200}}[/tex]

b) scale = [tex]\frac{\textup{1}}{\textup{2,200,000}}[/tex]

13. X = 2,662,500

Explanation:

Given:

a) 1 in to 3500 feet

i.e

scale = [tex]\frac{\textup{1"}}{\textup{3500 ft}}[/tex]

or

scale = [tex]\frac{\textup{1"}}{\textup{3500}\times12}[/tex]

or

scale = [tex]\frac{\textup{1}}{\textup{43200}}[/tex]

b) one centimeter to 22 kilometers

i.e

scale = [tex]\frac{\textup{1 cm}}{\textup{22 km}}[/tex]

or

scale = [tex]\frac{\textup{1 cm}}{\textup{22}\times100000\ cm}[/tex]

or

scale = [tex]\frac{\textup{1}}{\textup{2,200,000}}[/tex]

13.Given:

length of landform on map = 8 cm

length of the landform in real world = 213 km

thus,

scale = [tex]\frac{\textup{Length on map}}{\textup{Length in real world}}[/tex]

or

scale = [tex]\frac{\textup{8 cm}}{\textup{213 km}}[/tex]

or

scale = [tex]\frac{\textup{8 cm}}{\textup{21300000 cm}}[/tex]

or

scale = [tex]\frac{\textup{1}}{\textup{2,662,500}}[/tex]

Hence, X = 2,662,500