You make a scale drawing of a tree using the scale 5 in. = 27f ft. If the tree is 67.5 ft. tall, how tall is the scale drawing

5/27 = x/67.5

27x = 337.5

x = 12.5 inches

To find the height of the scale drawing, we can use the scale ratio. The scale is given as 5 in. = 27 ft.

First, let's determine the proportionality factor:
67.5 ft x (5 in./27 ft.) = 12.5 in.

Therefore, the height of the scale drawing is 12.5 inches.

To determine the height of the scale drawing, we can use the given scale and the actual height of the tree.

Given:
Scale: 5 in. = 27 ft.
Actual height of the tree: 67.5 ft.

Step 1: Determine the scaling factor
The scaling factor is the ratio between the measurement on the scale drawing and the actual measurement. In this case, it is given as 5 in. = 27 ft.

To find the scaling factor, we need to determine the number of inches that represents one foot on the scale drawing. Therefore, we divide the number of inches (5) by the number of feet (27) in the scale, like this:

Scaling factor = 5 in. / 27 ft.

Step 2: Calculate the height of the scale drawing
To find the height of the scale drawing, we can multiply the scaling factor by the actual height of the tree.

Height of the scale drawing = Scaling factor × Actual height of the tree

Substituting the values into the formula, we get:

Height of the scale drawing = (5 in. / 27 ft.) × 67.5 ft.

Step 3: Calculate the height of the scale drawing
Now, let's perform the calculation:

Height of the scale drawing = (5/27) × 67.5 ft.
Height of the scale drawing ≈ 12.5 in.

Therefore, the scale drawing of the tree is approximately 12.5 inches tall.