Question

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.

Answer 1

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

Answer 2

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:

`(5 ft 10 )/(xft) = (9ft)/(45ft)`

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

<=>
`(79in )/(xft) = (108)/(45ft)`

<=> 79(45) = 108x

<=> x ≈ 32.9 ft

So the height of the box is 32.9 ft