Question

Lenora wants to build the bike ramp shown. Find the length of the base of the ramp.

Answer 1

te lenght was base of the ramp

Answer 2

The length of the base of the bike ramp is 6 meters.

To find the length of the base of the bike ramp, we need to use some basic geometry concepts.

The bike ramp is shaped like a right triangle, where the base is the bottom side of the triangle. The other two sides of the triangle are the height of the ramp and the hypotenuse, which is the inclined part of the ramp.

To find the length of the base, 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. In this case, we can use the equation:


`(base)^2 + (height)^2 = (hypotenuse)^2`

Let's assume the height of the ramp is h and the hypotenuse is c. Then, the equation becomes:


`(base)^2 + h^2 = c^2`

Now, let's say the hypotenuse of the ramp is 10 meters and the height is 8 meters. We can substitute these values into the equation:


`(base)^2 + 8^2 = 10^2`

`(base)^2 + 64 = 100`

To find the length of the base, we can isolate the variable by subtracting 64 from both sides:


`(base)^2 = 100 - 64`

`(base)^2 = 36`

To solve for the base, we take the square root of both sides:

base = √36
base = 6 meters