Distance on the ground, represented on the map (a) 2 cm = 20 m and (b) 7.6 cm = 76 m. Distance on the map (a) 100 m = 10 cm and (b) 2.6 km = 260 cm.
The given scale = 1 : 1000
This implies, 1 cm on the map is equivalent to 1000 cm on the ground.
Let d be the variable representing answers
(i) Distance on ground in meters
(a) To find, the distance on the ground for a map distance of 2 cm
map ground
1 cm 1000 cm
2 cm d1
=> d1 = 1000 * 2 = 2000 cm = 2000 / 100 m = 20 m
(b) To find, the distance on the ground for a map distance of 7.6 cm
map ground
1 cm 1000 cm
7.6 cm d2
=> d2 = 1000 * 7.6 = 7600 cm = 7600 / 100 m = 76 m
(ii) Distance on map in centimeters
(a) To find, the distance on the map for a ground distance of 100 m
map ground
1 cm 1000 cm
d3 100 m
=> d3 = 100 * 100 / 1000 cm = 10 cm
(b) To find, the distance on the map for a ground distance of 2.6 km
map ground
1 cm 1000 cm
d4 2.6 km
=> d4 = 2.6 * 100000 / 1000 = 260 cm
Therefore, using the scaling factor, we get distance on the ground, represented on the map (a) 2 cm = 20 m and (b) 7.6 cm = 76 m, and distance on the map (a) 100 m = 10 cm and (b) 2.6 km = 260 cm.
Learn more about Scale Factor here:
https://brainly.com/question/22312172?referrer=searchResults
#SPJ9