Question

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)

Answer 1

12.

a) scale =
`\frac{\textup{1}}{\textup{43200}}`

b) scale =
`\frac{\textup{1}}{\textup{2,200,000}}`

13. X = 2,662,500

Step-by-step explanation:

Given:

a) 1 in to 3500 feet

i.e

scale =
`\frac{\textup{1`

or

scale =
`\frac{\textup{1`

or

scale =
`\frac{\textup{1}}{\textup{43200}}`

b) one centimeter to 22 kilometers

i.e

scale =
`\frac{\textup{1 cm}}{\textup{22 km}}`

or

scale =
`\frac{\textup{1 cm}}{\textup{22}*100000\ cm}`

or

scale =
`\frac{\textup{1}}{\textup{2,200,000}}`

13.Given:

length of landform on map = 8 cm

length of the landform in real world = 213 km

thus,

scale =
`\frac{\textup{Length on map}}{\textup{Length in real world}}`

or

scale =
`\frac{\textup{8 cm}}{\textup{213 km}}`

or

scale =
`\frac{\textup{8 cm}}{\textup{21300000 cm}}`

or

scale =
`\frac{\textup{1}}{\textup{2,662,500}}`

Hence, X = 2,662,500