If you are at point B and move 6 miles south, then 8 miles west, how far are you

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Question: If you are at point B and move 6 miles south, then 8 miles west, how far are you from point B?

Options:

Correct Answer: 10 miles

Solution:

Using the Pythagorean theorem, the distance from B is 10 miles.

If you are at point B and move 6 miles south, then 8 miles west, how far are you from point B?

If you are at point B and move 6 miles south, then 8 miles west, how far are you from point B?

Step 1: Start at point B.
Step 2: Move 6 miles south. Now you are at a new point, let's call it point C.
Step 3: From point C, move 8 miles west. Now you are at another new point, let's call it point D.
Step 4: You have moved 6 miles south and 8 miles west. This creates a right triangle where one side is 6 miles and the other side is 8 miles.
Step 5: To find the distance from point B to point D, use the Pythagorean theorem: a^2 + b^2 = c^2, where a is 6 miles, b is 8 miles, and c is the distance from B to D.
Step 6: Calculate 6^2 + 8^2 = 36 + 64 = 100.
Step 7: Now take the square root of 100 to find c: √100 = 10.
Step 8: Therefore, the distance from point B to point D is 10 miles.

Pythagorean Theorem – A mathematical principle used to calculate the distance between two points in a right triangle, where the distance is the hypotenuse.
Coordinate Geometry – Understanding movement in a two-dimensional space using coordinates, which can be represented as changes in the x and y axes.