Question

Someone give the worked solution for this please!!!!

Answer 1

The scale Myra should use is one graph unit = 400 km or;

←--→ = 400 km

Explanation:

The question relates to the representation of scale drawing

The actual distance between Perth and Sydney = 3294 kilometers

The given coordinates of Perth on the grid = (1.3, 3.4)

The given coordinates of Sydney on the grid = (9.2, 3.3)

The measure of the distance between Perth and Sydney, 'd', is given by using the following formula for finding the distance between two points given their 'x', and 'y' coordinates;

`d = \sqrt{\left (x_(2)-x_(1) \right )^(2)+\left (y_(2)-y_(1) \right )^(2)}`

Therefore, by substitution, we have;

`d = \sqrt{\left (9.2-1.3 \right )^(2)+\left (3.3-3.4 \right )^(2)} = \sqrt{\left (7.9 \right )^(2)+\left (-0.1 \right )^(2)} = (√(6242) )/(10) \approx 7.9`

d ≈ 7.9 units

Therefore, we have;

7.9 units of the graph = 3294 kilometers

1 unit of the graph ≈ 3294/7.9 km = 416.962025316 km ≈ 416.96 km

Therefore, the scale Myra should use for her map is 1 unit = 400 km.