Can someone help? Your make a scale drawing of a tree using the scale 5 in. =27 ft. If the tree is 67.5 ft tall, how tall is the scale drawing?
12.5
One way to solve this is use a proportion. Cross multiply and solve for x.
5/27 = x/67.5
Thank you
To find the height of the scale drawing, we need to use the given scale. The scale tells us that 5 inches on the drawing represents 27 feet in real life. We can set up a proportion to solve for the height of the scale drawing.
Let's denote the height of the scale drawing as "h" (which we need to find) and the height of the real tree as 67.5 feet.
Using the proportion, we have:
(5 inches) / (27 feet) = (h inches) / (67.5 feet)
To solve for "h", we can cross-multiply and then divide:
(5 inches) * (67.5 feet) = (27 feet) * (h inches)
337.5 inches * feet = 27 feet * h inches
Now, let's convert the units:
337.5 inches * 1 foot/12 inches = 27 feet * h inches
28.125 feet = 27 feet * h inches
To isolate "h", we divide both sides of the equation by 27 feet:
28.125 feet / 27 feet = h inches
h ≈ 1.04 inches
Therefore, the height of the scale drawing is approximately 1.04 inches.