Question

00:00 The slope of a roof is called its pitch. The Parthenon, an ancient Greek temple, has a roof with a rise of 3.6 meters and a run of 12 meters. What is the pitch of the roof?

Answer 1

Answer:

0.3

Step-by-step explanation:

It is clearly stated that the slope of a roof is called its pitch.

Now, the Greek temple's roof has a rise of 3.6 meters and a run of 12 meters.

If we translate the whole thing into geometry. We can see that the vertical axis which is height or rise in this case is 3.6 and the horizontal axis which is run in this case is 12 meters.

So the change in y is 3.6 and the change in x is 12

Therefore, the slope of the roof is,

= $\frac{3.6}{12} = 0.3$

Hence, the pitch of the roof is 0.3.

Answer 2

Since the Parthenon, an ancient Greek temple, has a roof with a rise of 3.6 meters and a run of 12 meters, the pitch (slope) of the roof is 0.3.

Given the following data:

Vertical distance (rise) = 3.6 meters

Horizontal distance (running) = 12 meters

To find the pitch (slope) of the roof, we would use the following formula:

Pitch (slope) is the ratio of the vertical distance measured to the horizontal distance measured.

Mathematically, the pitch (slope) of a roof is given by the formula:

$Pitch (slope) = \frac{V}{H}$

Where:

• V is the rising vertical distance of an object.

• H is the horizontal distance an object runs through.

Substituting the given parameters into the formula, we have;

$Pitch (slope) = \frac{3.6}{12}$

Pitch (slope) = 0.3

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