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Sebastian is curious to know how tall the announcer's box is on his school's football field. On a sunny day he measures the shadow of the box to be 45 ft and his own shadow is 9 ft. Sebastian is 5 ft 10 in tall. Find the height of the box.

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Answer:

Step-by-step explanation:

Given:

  • The shadow of the box to be 45 ft
  • His own shadow is 9 ft.
  • Sebastian is 5 ft 10 in tall

So we have the proportion:

[tex]\frac{5 ft 10 }{xft} = \frac{9ft}{45ft}[/tex]

Notice that our measurements are not all in the same units. Change both numerators to inches and then we can cross multiply.

<=> [tex]\frac{79in }{xft} = \frac{108}{45ft}[/tex]

<=> 79(45) = 108x

<=> x ≈ 32.9 ft

So the height of the box is 32.9 ft

Answer:

Step-by-step explanation:

Step-by-step explanation:

Given:

The shadow of the box to be 45 ft

His own shadow is 9 ft.

Sebastian is 5 ft 10 in tall

So we have the proportion:

Notice that our measurements are not all in the same units. Change both numerators to inches and then we can cross multiply.

<=>  

<=> 79(45) = 108x

<=> x ≈ 32.9 ft

So the height of the box is 32.9 ft

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