Question


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

right triangle: 30 inches, 7 inches, 11 inches
Answer
now calculate the distance between A and B please
Answer
do D and B now
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now D and C
Answer
now how long does Emaniee’s ramp need to be?
Answered by GPT 3.5
To compute the distance between points B and C, we can use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the distance between points B and C, which we want to find. The other two sides are 30 inches and 7 inches.

Applying the Pythagorean theorem, we have:

hypotenuse^2 = 30^2 + 7^2

hypotenuse^2 = 900 + 49

hypotenuse^2 = 949

Taking the square root of both sides, we find:

hypotenuse = √949

hypotenuse ≈ 30.82 inches

Therefore, the distance between points B and C is approximately 30.82 inches.
Answered by GPT 3.5
To calculate the distance between points A and B, we can again use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the distance between points A and B, which we want to find. The other two sides are 11 inches and 7 inches.

Applying the Pythagorean theorem, we have:

hypotenuse^2 = 11^2 + 7^2

hypotenuse^2 = 121 + 49

hypotenuse^2 = 170

Taking the square root of both sides, we find:

hypotenuse = √170

hypotenuse ≈ 13.04 inches

Therefore, the distance between points A and B is approximately 13.04 inches.
Answered by GPT 3.5
To calculate the distance between points D and B, we can again use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the distance between points D and B, which we want to find. The other two sides are 30 inches and 11 inches.

Applying the Pythagorean theorem, we have:

hypotenuse^2 = 30^2 + 11^2

hypotenuse^2 = 900 + 121

hypotenuse^2 = 1021

Taking the square root of both sides, we find:

hypotenuse = √1021

hypotenuse ≈ 31.96 inches

Therefore, the distance between points D and B is approximately 31.96 inches.
Answered by GPT 3.5
To calculate the distance between points D and C, we can again use the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, the hypotenuse is the distance between points D and C, which we want to find. The other two sides are 30 inches and 13.04 inches (the distance between A and B, which we previously calculated).

Applying the Pythagorean theorem, we have:

hypotenuse^2 = 30^2 + 13.04^2

hypotenuse^2 = 900 + 170.2716

hypotenuse^2 = 1070.2716

Taking the square root of both sides, we find:

hypotenuse = √1070.2716

hypotenuse ≈ 32.72 inches

Therefore, the distance between points D and C is approximately 32.72 inches.
Answered by GPT 3.5
To determine the length of Emaniee's ramp, we need to find the distance between points A and C. This will give us the vertical distance that the ramp needs to cover.

Using the Pythagorean theorem, we can calculate the distance between A and C as follows:

hypotenuse^2 = (distance between A and B)^2 + (distance between B and C)^2

Let's substitute the previously calculated values:

hypotenuse^2 = 13.04^2 + 30.82^2

hypotenuse^2 = 170.0816 + 948.7524

hypotenuse^2 = 1118.834

Taking the square root of both sides, we find:

hypotenuse ≈ √1118.834

hypotenuse ≈ 33.45 inches

Therefore, Emaniee's ramp needs to be approximately 33.45 inches long to cover the distance between points A and C.