The scale on a map is 1 cm: 7 km. if two cities are 15 cm apart on the map, what is the actual distance between the cities?

a. 735 km

b. 2.14 km

c. 105 km

d. 15 km

C. 105 km

Step-by-step explanation:

By finding out that 1 cm is equal to 7 km, and that the two cities are 15 cm apart you can find it out by doing 7 x 15.

Enjoy. :)

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584