The scale of a map is 1 : 3 × 107. Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres
please answer quick !!.
siddhartharao77:
is it 107 (or) 10^7?
it is not in the options
I am asking that is it 1.3 * 10^7 (or) 1.3 * 107
A)
1500 km
B)
1000 km
C)
1100 km
D)
2000 km
1500 km
B)
1000 km
C)
1100 km
D)
2000 km
no
ur not understanding that i am saying.. In ur question is it 1.3 * 10^7 (or) 1.3 * 107.
it is 1 ratio 3 multiple into 107
Ok leave it.. U wont understand..
ok
thnx
Answers
Answered by
52
Given scale of map = 1 : 3 * 10^7.
Given that the distance between two cities is 5cm.
= > Therefore Actual distance = 5 : 3 * 10^7cm
= 15 * 10^7 cm
= (15 * 10^7)/1000 * 100
= (15 * 10^7)/10^5
= 15 * 10^2
= 1500km.
Hope this helps!
Given that the distance between two cities is 5cm.
= > Therefore Actual distance = 5 : 3 * 10^7cm
= 15 * 10^7 cm
= (15 * 10^7)/1000 * 100
= (15 * 10^7)/10^5
= 15 * 10^2
= 1500km.
Hope this helps!
Answered by
34
Let the required distance be x cm. Then, we have:
Distance Actual
on the map(cm) distance
1 3 × 10⁷
5 х
More is the distance on the map, more is the actual distance. So, it is a case of direct proportion.
1/(3×10⁷) = 5/х
(x × 1) = 5x3x10⁷
x = (15 x 10⁷).
Required actual distance = (15 x 10⁷) cm =
(15 x 10⁷) ÷(100 ×1000)km
(15 x 10⁷)÷(10²×10³)km
(15 x 10⁷)/10⁵ km
= (15 x 10²) km (15 x 100)km = 1500 km.
Hence, the actual distance between the two cities is 1500 km.
Hope it helps. Please mark me as brainliest
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