# A flagpole casts a shadow that is 40 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 50 inches long. How

###### Question:

## Answers

The height of flagpole to the nearest foot is 58 feet.

Step-by-step explanation:

Given information:

Shadow of flagpole = 40 feet

Height of man = 6 feet

Shadow of man = 50 inches

We know that 1 feet = 12 inches

50 inches = [tex]\frac{50}{12}[/tex] feet

The actual height and shadow of man and flagpole are proportional.

Let the height of flagpole is h.

For flagpole,

[tex]\frac{height}{shadow}=\frac{h}{40}[/tex]

For man,

[tex]\frac{height}{shadow}=\frac{6}{\frac{50}{12}}\Rightarrow \frac{72}{50}=1.44[/tex]

Since the height and shadow of man and flagpole are proportional.

[tex]\frac{h}{40}=1.44[/tex]

Multiply both sides by 40.

[tex]h=1.44\times 40[/tex]

[tex]h=57.6\approx 58[/tex]

Therefore the height of flagpole to the nearest foot is 58 feet.

So you set it up by putting 50 over 6 and 40 over x then you multiply 40 times 6 and divide by 50 and get 4.8

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .

6.5

step-by-step explanation:

you said it was in the question

~courtney