To find the distance between points D and B, we can use the Pythagorean theorem:
DB^2 = AB^2 + AD^2
Given that AB = 22 and AD = 30, we can substitute the values into the equation:
DB^2 = 22^2 + 30^2
DB^2 = 484 + 900
DB^2 = 1384
Taking the square root of both sides, we get:
DB = sqrt(1384)
DB ≈ 37.21
Therefore, the distance between points D and B is approximately 37.21 units.
To compute the distance between points D and C, we can use the Pythagorean theorem again:
DC^2 = BC^2 + DB^2
Given that BC = 21 and DB ≈ 37.21, we can substitute the values into the equation:
DC^2 = 21^2 + 37.21^2
DC^2 = 441 + 1384
DC^2 = 1825
Taking the square root of both sides, we get:
DC = sqrt(1825)
DC ≈ 42.77
Therefore, the distance between points D and C is approximately 42.77 units.
Since the length of the ramp represents the hypotenuse of the right triangle with sides DB and DC, the length of Emaniee's ramp needs to be approximately 42.77 units.
Emaniee would like to build a ramp for her dog over some stairs.
C=(top of stairs) A=(base of stairs) D and A=30
1. Compute the distance between points B and C =21
2. Compute the distance between points A and B=22
3. Compute the distance between points D and B and enter it on your worksheet.
4. Use the Pythagorean Theorem to compute the distance between points D and C.
5. How long does Emaniee's ramp need to be?
1 answer