To find the distance between landmarks B and F, we can use the Pythagorean theorem, which states that a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides of a right triangle and c is the length of the hypotenuse.
First, we need to find the horizontal distance between B and F:
B is located at 5 units across and F is located at 14 units across. So, the horizontal distance between B and F is 14 - 5 = 9 units.
Next, we need to find the vertical distance between B and F:
B is located at 9 units down and F is located at 8 units down. So, the vertical distance between B and F is 9 - 8 = 1 unit.
Now, we can use the Pythagorean theorem to find the length between B and F:
9^2 + 1^2 = c^2
81 + 1 = c^2
82 = c^2
c = √82
c ≈ 9.06 units
Therefore, the distance between landmarks B and F is approximately 9.06 units.
Question
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 F . Round the answer to the nearest hundredth, if necessary.
(1 point)
1 answer
1 answer