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1. Compute the distance between points B and C and enter it on the worksheet.

The distance between point B and C is 21 because there are three steps from the base to the top of the which are 7 inches, so 7 + 7 + 7 = 21 inches.
2. Compute the distance between points A and B and enter it on the worksheet.
The distance between point A and B is 22 because two of the steps are 11, so 11 + 11 = 22 inches.
3. Compute the distance between points D and B and enter it on the worksheet.
The distance between point D and B is 52 because we already know that point A to B is 22 and on the left side is 30, so 30 + 22 = 52 inches.
4. Use the Pythagorean Theorem to compute the distance between points D and C.
In order to find the distance between point D and C or the hypotenuse, we need to use the Pythagorean Theorem or a^2 + b^2 = c^2. We know that the legs are 52 and 21, so we can use them to help us find the hypotenuse. So 52^2 + 21^2 = c^2 = 2704 + 441 = 3145. Now, we square 3145 to get 56.08, so the distance between point D and C is 56.08.
5. How long does Emaniee’s ramp need to be?

1 answer

To calculate the length of Emaniee's ramp (let's call the distance from point D to point E, which we don't have a value for yet), we would need additional information about point E. If point E is directly above point D or follows a similar right-triangle relationship, you would need the vertical height or horizontal base distance (like A to D or B to E) to use the Pythagorean theorem again.

However, let’s assume that Emaniee's ramp is intended to connect points D and C, essentially providing a pathway from D to C. The previously computed length from D to C is 56.08 inches.

Here are the important points you've computed so far:

  • Distance between B and C: 21 inches
  • Distance between A and B: 22 inches
  • Distance between D and B: 52 inches
  • Distance between D and C using Pythagorean Theorem: 56.08 inches

Final Answer: The ramp needs to be 56.08 inches long (assuming it goes from point D to point C).

If you have additional details regarding point E or the ramp's start and end points, provide that information for further clarity on the calculation!