Find the length between landmark B and F round to nearest hundredth if necessary A map shows a grid 17 units across and 12 units high, superimposed over shapes that represent streets and buildings. A key lists buildings located in Washington D.C. that correspond to points on the grid. Point A represents the White House. It is located at 4 units across from the left, and 3 units down from the top. Point B represents the Washington Monument, located at 5 units across and 9 units down. Point C represents the Natural History Museum, and is located at approximately 8 units across and 8 units down. Point D represents the Smithsonian, and is located at 10 units across and 10 units down. Point E represents the National Portrait Gallery, and is located at 12 units across and 3 units down. Point F represents the National Gallery of Art, and is located at 14 units across and 8 units down. A scale shows 200 feet and 200 meters.
To find the distance between points B and F, we can use the Pythagorean theorem.
The horizontal distance between B and F is 14-5 = 9 units.
The vertical distance between B and F is 8-9 = -1 units.
Using the Pythagorean theorem:
d = √(9^2 + (-1)^2)
d = √(81 + 1)
d = √82
d ≈ 9.06 units
Therefore, the length between landmark B and F is approximately 9.06 units.