given that the scale on a map is 1:0000
(a)calculate the actual distance between 2 points if the distance an map is 6.5cm
(b)calculate the distance on the map that will represent an actual distance of 45km
1 = 0????
the distance betw two towns on a map is 15cm calculate the ground distance if the scale of the map is 1:50,000
1500
To calculate the actual distance between two points on a map given a scale, you can use the concept of ratios.
(a) To find the actual distance between two points on a map when the distance on the map is 6.5cm, you can use the following formula:
actual distance = distance on map / map scale
In this case, the distance on the map is 6.5cm and the map scale is 1:0000.
First, convert the scale to the ratio form by removing the colon. So, 1:0000 becomes 1/0000.
Now, plug these values into the formula:
actual distance = 6.5cm / 1/0000
To divide by a fraction, invert the fraction and multiply instead:
actual distance = 6.5cm * 0000/1
Simplifying the fraction gives:
actual distance = 6.5cm * 0
Therefore, the actual distance between the two points is 0 cm.
(b) To calculate the distance on the map that will represent an actual distance of 45 km, you can use a similar formula:
distance on map = actual distance * map scale
In this case, the map scale is still 1:0000 and the desired actual distance is 45 km.
First, convert the scale to the ratio form: 1:0000 becomes 1/0000.
Now, plug these values into the formula:
distance on map = 45 km * 1/0000
To multiply by a fraction, you simply multiply the numerators and denominators:
distance on map = 45 km * 1/0000
Simplifying further:
distance on map = 45 km / 0000/1
To divide by a fraction, invert the fraction and multiply:
distance on map = 45 km * 1/0000
Now you can multiply the numbers:
distance on map = 45 km * 0
Therefore, the distance on the map representing an actual distance of 45 km is 0 cm.