Final answer:
To determine the height of the building, the given equation 5 = √(2d/4.9) was solved for d, resulting in a building height of 61.25 meters. Additional information regarding units and context may affect the accuracy of this approximation.
Step-by-step explanation:
To find the range of possible heights for the building, we start with the given equation 5 = √(2d/4.9). This equation resembles the formula for calculating the distance to the horizon from a certain height, although it is not exactly the same. We will solve for d, which presumably represents the height of the building.
First, we square both sides of the equation to get rid of the square root:
25 = (2d / 4.9)
Next, we multiply both sides by 4.9 to isolate d:
25 × 4.9 = 2d
122.5 = 2d
Now divide both sides by 2 to solve for d:
d = 122.5 / 2
d = 61.25
Therefore, the height of the building is 61.25 meters, assuming the units of 4.9 pertain to acceleration due to gravity in meters per second squared and that's the formula used here to calculate the height of an object based on the time it takes to fall to the ground.
Note that the context provided indicates this is a range approximation, and additional factors could affect the actual height. The formula typically used for falling objects is d = 0.5 × g × t², where d is distance, g is the acceleration due to gravity, and t is time; rearranging this equation can result in a formula similar to what was provided if the time was fixed and known.