Question

the flag pole casts an 8 foot shadow and has a hieght of 20 feet. at the same tome the goal post casts a 18 foot shadow how tall is the goal post

Answer 1

Answer:

45

Step-by-step explanation:

Set up a proportion between the given data.

$\frac{8}{18}$ = $\frac{20}{x}$

Solve for x.

$\frac{8}{18}$ = $\frac{20}{x}$

8x = 360

x = 45

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Answer 2

Answer:

45 feet

Step-by-step explanation:

Set up a proportion using the following setup:

height/shadow=height/shadow

The flagpole has a height of 20 feet and casts and 8 foot shadow.

20 feet/8 feet= height/shadow

The goalpost has a height of x (unknown) feet and a shadow of 18 feet.

20 feet/8 feet= x feet / 18 feet

20/8=x/18

x is being divided by 18. The inverse of division is multiplication. Multiply both sides by 18.

18*(20/8)=(x/18)*18

18*20/8=x

18*2.5=x

45=x

x= 45 feet

The goal post is 45 feet tall.