What is the formula used to calculate the hypotenuse in the context of a 2% grade elevation?

The correct answer involves the well-known Pythagorean theorem, which 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). The formula is typically expressed as A² + B² = C².

Choice B correctly presents this relationship, indicating that each side is squared before being summed, which leads to the calculation of the hypotenuse. It is essential in various applications, including determining steepness in slopes, which relates to the concept of grade elevation in construction.

The other options fail to accurately reflect the mathematical principles at play. For instance, the first option is correct in terms of content but lacks the clarity that squaring is implied in "B" as it spells it out directly. The simplistic addition of the sides in other choices disregards the necessity of squaring when determining relationships in a right triangle, which is crucial for any accurate calculations regarding elevations. Therefore, recognizing the specifics of the equation, as presented in option B, is vital for understanding how to apply it correctly in various real-world scenarios in construction projects.