The base of the bicycle ramp is approximately 24 feet long, determined by applying the Pythagorean theorem to the right-angled triangle formed by the ramp's length and height. This calculation ensures the stability and functionality of the ramp's structure.
The bicycle ramp forms a right-angled triangle, with the length of the ramp being the hypotenuse, the height being the opposite side, and the base being the adjacent side. Using the Pythagorean theorem (a^2 + b^2 = c^2) where a and b are the legs of the triangle and c is the hypotenuse, we can calculate the length of the base.
In this case, the height of the ramp is 7 feet, and the length of the ramp is 25 feet. Let's denote the base as 'b.' The Pythagorean theorem equation becomes 7^2 + b^2 = 25^2. Simplifying, we get 49 + b^2 = 625. Subtracting 49 from both sides, we have b^2 = 576. Taking the square root of 576, we find that b is 24 feet.
Therefore, the base of the bicycle ramp is approximately 24 feet long. This calculation ensures that the relationship between the three sides of the right-angled triangle is maintained, providing a stable and functional structure for the bicycle ramp.