A model of a building is built using a scale of 1 inch = 25 feet. What is the actual height of the building if the height of the model is 12.375 inches?

The actual height of the building is 309.375 feet

Step-by-step explanation:

A scale is the mathematical relationship that exists between reality and the model that is made of it. That is, scale is the mathematical relationship between the dimensions of the representation of an object (a model, a plan, a map, etc.), and the actual size of the represented object.

The scale is written in the form of a ratio where the antecedent indicates the value of the plane and the consequent indicates the value of reality. In other words, the scale is indicated by the numerical relationship between a distance from the representation, and the corresponding real distance.

Taking into account what was previously expressed, the following rule of three can be applied: if a 1-inch scale: 25 feet indicates that a distance of 1 inch in the model represents a distance of 25 feet in the real object, with 12.375 inches being the height of the model what will be the height of the real object?

actual height of the building=309.375 feet

The actual height of the building is 309.375 feet

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

the answer is c: divide the arc's degree measure by 360°, then multiply by the circumference of the circle.