Question

Three people are sitting on a bus. Becky is directly behind Pedro and directly left of Tori. If Pedro and Becky are 6 feet apart, and Tori and Pedro are 10 feet apart, what is the distance between Becky and Tori?

Answer 1

The distance between Becky and Tori can be calculated using the Pythagorean theorem, resulting in a distance of approximately 11.66 feet.

Step-by-step explanation:

To determine the distance between Becky and Tori, we need to imagine the seating arrangement on the bus. Given that Becky is directly behind Pedro and to the left of Tori, and knowing the distances between Becky and Pedro, and Pedro and Tori, we can form a right-angled triangle. The distance between Becky and Tori would be the hypotenuse of this triangle.

Steps to Calculate the Distance

1. Represent Pedro and Becky's distance as one side of the triangle which is 6 feet.
2. Represent Pedro and Tori's distance as another side of the triangle which is 10 feet.
3. Apply the Pythagorean theorem: a^2 + b^2 = c^2, where 'a' and 'b' are the lengths of the legs of the right triangle, and 'c' is the length of the hypotenuse.
4. Here, 'a' is 6 feet and 'b' is 10 feet. Plugging these values into the equation gives us: 6^2 + 10^2 = c^2.
5. Calculating this, we get: 36 + 100 = c^2, which then simplifies to 136 = c^2.
6. Take the square root of both sides to find 'c': c = √136.
7. Therefore, the distance between Becky and Tori is √136 feet or approximately 11.66 feet when rounded to two decimal places.