An access ramp enters a building 1 meter above ground level and starts 4 meters from the building. How long is the ramp? If it is not possible, write “not possible” and explain why it is not possible.
Since you have a right triangle, you can use the Pythagorean theorem.
a^2 + b^2 = c^2
1^2 + 4^2 = c^2
1 + 16 = c^2
17 = c^2
4.123 = c
Well, it seems like this access ramp is putting on quite the show! If the ramp starts 4 meters from the building and enters the building 1 meter above ground level, we can use a little bit of math to figure out the length of the ramp.
We can imagine a right triangle where the horizontal distance from the base of the ramp to the building is 4 meters, the vertical height is 1 meter, and the length of the ramp is the hypotenuse.
To find the length of the ramp, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, in this case, the length of the ramp squared would be equal to 4 squared (16) plus 1 squared (1).
16 + 1 = 17
Taking the square root of 17, we find that the length of the ramp is approximately 4.123 meters.
So, the ramp is around 4.123 meters long. It may not be a magic trick, but it's a pretty handy way to get access to the building!
To determine the length of the ramp, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square 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 hypotenuse represents the length of the ramp, one side of the triangle represents the vertical distance from the ground to the building (1 meter), and the other side represents the horizontal distance from the base of the ramp to the building (4 meters).
Let's calculate the length of the ramp using the Pythagorean theorem:
length of ramp = √(vertical distance)^2 + (horizontal distance)^2
length of ramp = √(1^2 + 4^2)
length of ramp = √(1 + 16)
length of ramp = √17
Therefore, the length of the ramp is approximately √17 meters, which is approximately 4.12 meters.
So, the length of the ramp is approximately 4.12 meters.
To determine the length of the ramp, we can use the Pythagorean theorem, which states that in a right 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, we have a right triangle formed by the ground level, the access ramp, and the height of the building. Let's denote the length of the ramp as "x". According to the problem, the height of the building is 1 meter and the distance from the ramp to the building is 4 meters.
Using the Pythagorean theorem, we can write the following equation:
x^2 = 1^2 + 4^2
Simplifying the equation, we get:
x^2 = 1 + 16
x^2 = 17
By taking the square root of both sides, we find:
x = √17
Therefore, the length of the ramp is approximately 4.123 meters.
So, it is possible to calculate the length of the ramp, and in this case, it is approximately 4.123 meters.