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 A and landmark E .
(1 point)
units
To find the length between landmark A and landmark E, we can count the number of units horizontally and vertically between the two points using the grid.
Horizontally, landmark E is 12 units across from the left and landmark A is 4 units across from the left. So, the horizontal distance between them is 12 - 4 = 8 units.
Vertically, landmark E is 3 units down from the top and landmark A is 8 units down from the top. So, the vertical distance between them is 8 - 3 = 5 units.
Using the Pythagorean theorem, we can find the hypotenuse (length between the two points) using the horizontal and vertical distances:
hypotenuse = sqrt((horizontal distance)^2 + (vertical distance)^2)
= sqrt(8^2 + 5^2)
= sqrt(64 + 25)
= sqrt(89)
Therefore, the length between landmark A and landmark E is approximately sqrt(89) units.
To find the length between landmark A (White House) and landmark E (National Portrait Gallery), we need to calculate the horizontal and vertical distance between the two points on the grid.
1. Horizontal Distance:
First, determine the number of units across between A and E. In this case, A is located at 4 units across, and E is located at 12 units across.
Therefore, the horizontal distance between A and E is 12 - 4 = 8 units.
2. Vertical Distance:
Next, determine the number of units down between A and E. A is located at 3 units down, and E is located at 3 units down as well.
Therefore, the vertical distance between A and E is 3 - 3 = 0 units.
3. Length Between A and E:
Since the vertical distance between A and E is 0 units, we only need to consider the horizontal distance.
Therefore, the length between A and E is 8 units.
However, it is important to note that the units mentioned in the question are not given, so we cannot convert the length to any specific unit of measurement (e.g., feet, meters).
To find the length between landmark A (the White House) and landmark E (the National Portrait Gallery), we need to calculate the distance in units on the grid.
The x-coordinate of A is 4 units across, and the x-coordinate of E is 12 units across. So, the horizontal distance between A and E is 12 - 4 = 8 units.
The y-coordinate of A is 3 units down, and the y-coordinate of E is 3 units down as well. So, the vertical distance between A and E is 3 - 3 = 0 units.
Since the vertical distance is 0 units, we can ignore it for this calculation.
Therefore, the length between landmark A and landmark E is 8 units.
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)