Building a Ramp
Emaniee 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.
5. Use the image to complete the activity
How long does Emaniee’s ramp need to be?
To determine how long Emaniee's ramp needs to be, we need to calculate the distance between points D and C using the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length 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 distance between D and C is the hypotenuse of a right-angled triangle with sides of lengths BC and BD.
So, we need to calculate the square root of the sum of the squares of BC and BD.
Let's assume the distances are as follows:
BC = 4 feet
BD = 3 feet
Using the Pythagorean theorem, we can calculate the distance between points D and C as follows:
Distance(DC)^2 = BC^2 + BD^2
Distance(DC)^2 = 4^2 + 3^2
Distance(DC)^2 = 16 + 9
Distance(DC)^2 = 25
Taking the square root of both sides to find the distance(DC), we get:
Distance(DC) = √25
Distance(DC) = 5
Therefore, Emaniee's ramp needs to be 5 feet long.