Use the image to answer the question.
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.
Find the length between landmark B and landmark F .
(1 point)
3 answers
From the given information, landmark B is located at 5 units across and 9 units down, while landmark F is located at 14 units across and 8 units down.
Using the grid, we can count the number of units horizontally and vertically between the two landmarks:
Horizontal distance = 14 units across - 5 units across = 9 units
Vertical distance = 8 units down - 9 units down = -1 unit
However, since the vertical distance is negative, we need to take its absolute value: |-1| = 1 unit.
Therefore, the length between landmark B and landmark F on the map is 9 units horizontally and 1 unit vertically.
From the given information, landmark B is located at 5 units across and 9 units down, while landmark F is located at 14 units across and 8 units down.
Hence, the horizontal distance between B and F is:
14 units across - 5 units across = 9 units.
The vertical distance between B and F is:
8 units down - 9 units down = -1 unit.
As the vertical distance is negative, we take its absolute value: |-1| = 1 unit.
Therefore, the length between landmark B and landmark F on the map is 9 units horizontally and 1 unit vertically.