Question

Your travel guide contains a grid map of Paris, which each unit on the grid representing 0.125 km. If the Eiffel tower is located at (-1,-7) And I louvre museum is located at (-7,10), 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

Given:

The Eiffel tower is located at (-1,-7) And I louver museum is located at (-17,10)

We will find the direct distance between the two points using the following formula:

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the points (-1, -7) and (-17, 10)

$d=\sqrt{(-17-(-1))^2+(10-(-7))^2}=\sqrt{256+289}=\sqrt{545}=23.345235$

Rounding to the nearest 2 decimal places

so, the answer will be:

The direct distance = 23.35 kilometers