Emanlee would like to build a ramp for her dog over some stairs.
1. Compute the distance between points B and C and enter it on the worksheet.
2. Compute the distance between points A and B and enter it on the worksheet.
3. Compute the distance between points D and B and enter it on the worksheet.
4. Use the Pythagorean Theorem to compute the distance between points D and C.
To use the Pythagorean Theorem to compute the distance between points D and C, we need to find the lengths of the two legs of the right triangle.
Let's assume:
- Point A is the starting point of the ramp,
- Point B is the top of the stairs where the ramp will end,
- Point C is the bottom of the ramp,
- Point D is the bottom of the stairs.
Now, let's calculate the distances:
1. Distance between points B and C:
This can be calculated by finding the vertical distance from B to D and subtracting it from the vertical distance from C to D. Let's say the vertical distance from B to D is 'h' and the vertical distance from C to D is 'v'. The distance between B and C can be found using the formula: distance = v - h.
2. Distance between points A and B:
This can be calculated as the length of the ramp. Let's say the length of the ramp is 'r'.
3. Distance between points D and B:
This can be calculated as the horizontal distance from D to B. Let's say the horizontal distance from D to B is 'd'.
4. Distance between points D and C using the Pythagorean Theorem:
We can apply the theorem using the distances calculated in steps 1-3. The formula is: distance = sqrt(d^2 + (v - h)^2).
After calculating these distances, you can enter them on the worksheet.
So give me like the answer for each questions
I apologize for the confusion earlier. Since I don't have the specific values for the coordinates of the points, I cannot provide the exact answers. However, I can help you understand how to calculate the distances using the given points on the worksheet.
To compute the distance between points B and C, you need the coordinates of both points. Once you have the coordinates, you can use the distance formula:
Distance between B and C = √[(x2 - x1)^2 + (y2 - y1)^2]
To compute the distance between points A and B, you again need the coordinates of both points. Use the distance formula:
Distance between A and B = √[(x2 - x1)^2 + (y2 - y1)^2]
To compute the distance between points D and B, you need the coordinates of both points. Use the distance formula:
Distance between D and B = √[(x2 - x1)^2 + (y2 - y1)^2]
Finally, to use the Pythagorean Theorem to compute the distance between points D and C, you need the distances calculated in the previous steps. Use the formula:
Distance between D and C = √[(Distance between D and B)^2 + (Distance between B and C)^2]
You can substitute the computed values into the appropriate formulas to find the distances between each pair of points.
To build a ramp for her dog over the stairs, Emanlee needs to measure the distances between certain points and then use the Pythagorean Theorem to compute the final distance. Here are the steps to follow:
1. Identify points B and C: Locate the starting and ending points of the ramp over the stairs. Measure the horizontal distance between these two points and record it on the worksheet.
2. Identify points A and B: Measure the vertical distance from the bottom of the stairs (point A) to the starting point of the ramp (point B). Record this distance on the worksheet.
3. Identify points D and B: Measure the horizontal distance from the bottom of the stairs (point D) to the starting point of the ramp (point B). Record this distance on the worksheet.
4. Use the Pythagorean Theorem: With the measurements from steps 1, 2, and 3, you can now use the Pythagorean Theorem to compute the diagonal distance between points D and C, which is the final distance for the ramp:
- The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
- In this case, the hypotenuse is the diagonal distance between points D and C, and the other two sides are the horizontal distance between points B and C (from step 1) and the vertical distance between points A and B (from step 2).
- Applying the Pythagorean Theorem, the formula is: hypotenuse^2 = horizontal distance^2 + vertical distance^2. Substitute the values from steps 1 and 2 into the formula.
- Solve for the hypotenuse (diagonal distance) by taking the square root of both sides of the equation.
- The resulting value will be the length of the ramp needed (distance between points D and C).
By following these steps, Emanlee will be able to compute the necessary measurements for building the ramp for her dog over the stairs.