Answer: The flagpole is 32 feet high. hope this helps
Explanation:
This is a Ratio and Proportion question.
The relationship between the height of the sign and its shadow is the same as the relationship between the flagpole and its shadow.
That relationship is 8:3.
That means that for every 8 feet tall an object is, its shadow is 3 feet long.
If some object is 16 object shadow=166=83
If some object is 4 feet tall, its shadow is 1.5 feet long.
object shadow=4 1.5=83
that works backwards too.
If the shadow is 9 feet long, the object is 24 feet tall.
object shadow=249=83
Keep the shadow in the denominator even it the problem names it feet tall, its shadow is 6 feet long.
In the problem, the ratio of object to shadow is 8:3 in both cases, even though only one object is exactly 8 feet tall. objectnshadow=83=x12
That means you can solve for x to find the height of the flagpole.
You can solve the pair of equal fractions by cross multiplying and then solving for x, already defined as "the height of the flagpole."
1) Cross multiply3x=8⋅12
2) Divide both sides by 3 to isolate x, already defined as "the height of the flagpole.
To weasel out of having to multiply 8⋅12, make the numbers small by first dividing by 3.
After you have divided both sides by 3, you will have this: x=8⋅4x=32