Answer:
The billboard should be 30 feet tall
Step-by-step explanation:
Height of the picture = 5 inches
Width of the picture = 8 inches
But the billboard has a width of 48 feet = 12 x 48
= 576 inches
To know how tall the billboard is, we have to determine the scale factor required.
scale = [tex]\frac{width of billboard}{width of picture}[/tex]
scale = [tex]\frac{576}{8}[/tex]
= 72
scale = 72
The height of the billboard = scale x 5 inches
= 72 x 5 inches
= 360 inches
Also,
The height of the billboard = [tex]\frac{360}{12}[/tex]
= 30 feet
Therefore, the billboard would be 30 feet tall.
