Question

two landmarks on a city map are located at (0, 0) and (6, 8). what is the straight - line distance between them? a. 10 units b. 7 units c. 12 units d. 8 units which field frequently uses the distance formula for design and layout? a. literature b. music c. urban planning d. history

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Here, $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(6,8)$.

Step2: Substitute values

$d=\sqrt{(6 - 0)^2+(8 - 0)^2}=\sqrt{6^2+8^2}=\sqrt{36 + 64}=\sqrt{100}$.

Step3: Calculate the result

$\sqrt{100}=10$.

Urban planning involves designing and laying - out cities, which often requires calculating distances between different locations. Literature, music, and history do not frequently use the distance formula for their core activities.

Answer:

A. 10 units