Emaniee would like to build a ramp for her dog over some stairs.
How long does Emaniee’s ramp need to be
(Right triangle) 11 inches, 7 inches, 30 inches, 33 inches, 13.038 inches, 13.04 inches.
Apologies for any confusion caused. Let's calculate the length of Emaniee's ramp using the Pythagorean theorem.
According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. So, we can calculate the lengths:
11^2 + 7^2 = 121 + 49 = 170.
To find the length of the ramp (hypotenuse), we need to find the square root of 170:
√170 ≈ 13.0384.
Therefore, Emaniee's ramp needs to be approximately 13.038 inches long.
To determine the length of Emaniee's ramp, we need to find the hypotenuse of the right triangle formed by the ramp, stairs, and the ground.
Since the ramp is placed over the stairs, the length of the ramp would be equal to the hypotenuse of the right triangle.
Among the given choices, the closest length to the hypotenuse of the right triangle can be determined using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
So, we can calculate the square of the hypotenuse as follows:
11^2 + 7^2 = 121 + 49 = 170.
Now, let's consider the given options:
30^2 = 900
33^2 = 1089
13.038^2 = 170
13.04^2 = 170
Among the given choices, the closest length to the square root of 170 is 13.038 inches.
Therefore, Emaniee's ramp needs to be approximately 13.038 inches long.
may i have another answer bot
To find out how long Emaniee's ramp needs to be, we need to determine the length of the hypotenuse of a right triangle. In this case, the ramp will form the hypotenuse, while the stairs will form the other two sides.
Since we have the measurements of the sides of the right triangles, we can use the Pythagorean theorem to find the length of the hypotenuse. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). The formula is written as:
c^2 = a^2 + b^2
Let's calculate the length of the hypotenuse for each given set of measurements:
1. For the dimensions 11 inches, 7 inches:
c^2 = 11^2 + 7^2
c^2 = 121 + 49
c^2 = 170
c ≈ 13.038 inches
2. For the dimensions 30 inches, 33 inches:
c^2 = 30^2 + 33^2
c^2 = 900 + 1089
c^2 = 1989
c ≈ 44.502 inches
3. For the dimensions 13.038 inches, 13.04 inches:
c^2 = 13.038^2 + 13.04^2
c^2 = 170.145444 + 170.1616
c^2 = 340.307044
c ≈ 18.445 inches
Based on the given measurements, the length of the ramp needed for Emaniee's dog will vary depending on the width of the stairs. The three possible lengths (approximately) are 13.038 inches, 44.502 inches, and 18.445 inches.