Question

Your backpacker's guide contains a grid map of London, with each unit on the grid representing 0.125 kilometers. If Buckingham Palace is located at (2, -3) and Westminster Abbey is located at (-1, 4), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in kilometers? Round your answer to two decimal places, if necessary. ​

Answer 1

~ .95 km

Explanation:

Use distance formula to find the distance between the two points then multiply by .125 km

d^2 = ( 2- -1)^2 + ( -3 -4)^2

d^2 = 9 + 49

d^2 = 58

d = sqrt 58

sqrt 58 * .125 km = .952 km ~ .95 km