Answer:
The billboard should be 30 feet tall
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 =
![(width of billboard)/(width of picture)](https://img.qammunity.org/2022/formulas/mathematics/high-school/ecno4mpy2cpft98llihqvsrnugy716hjrs.png)
scale =
![(576)/(8)](https://img.qammunity.org/2022/formulas/mathematics/high-school/6ftmm5upqgtzgsnxz5abh1axe3lli15f1t.png)
= 72
scale = 72
The height of the billboard = scale x 5 inches
= 72 x 5 inches
= 360 inches
Also,
The height of the billboard =
![(360)/(12)](https://img.qammunity.org/2022/formulas/mathematics/high-school/15fa0wfjnmu1mv84l7tt4jk3co85qdgi9l.png)
= 30 feet
Therefore, the billboard would be 30 feet tall.