Vernon drew an 8in. Wide by 5in.tall picture that will be turned into a 48 ft wide billboard.How tall will the actual billboard be?
8/48 = 5/x
8x = 240
x = 30 feet
rich drew a picture 7 inches wide by 4 inches tall that will become a billboard 40 fr wide. How tall will the billboard be?
To find out how tall the actual billboard will be, we can use the concept of proportions. We know the width of the drawing, 8 inches, and how it relates to the final width of the billboard, 48 feet. Now, we can set up a proportion using these measurements.
Let's convert the width of the drawing and the final width of the billboard into the same unit. Since the width of the drawing is given in inches and the final width of the billboard is in feet, we need to convert inches to feet.
There are 12 inches in 1 foot, so we can convert 8 inches to feet by dividing it by 12:
8 inches / 12 inches per foot = 0.67 feet (rounded to the nearest hundredth)
Now, we can set up the proportion:
Width of drawing / Width of billboard = Height of drawing / Height of billboard
Plugging in the values we know:
0.67 feet / 48 feet = 5 inches / Height of billboard
To solve for the height of the billboard, we can cross-multiply and solve for Height of billboard:
(0.67 feet) x (Height of billboard) = (48 feet) x (5 inches)
0.67 feet x Height of billboard = 240 inches
Next, let's isolate the Height of the billboard by dividing both sides of the equation by 0.67 feet:
Height of billboard = (240 inches) / (0.67 feet)
Converting inches to feet, we divide by 12:
Height of billboard = (240 inches) / (0.67 feet/12 inches per foot)
Height of billboard = 20 feet
Therefore, the actual billboard will be 20 feet tall.