Respuesta :
Answer:
The height of flagpole (to the nearest tenth) is, 24.7 ft
Step-by-step explanation:
Let x be the height of the flagpole.
Given: Height of the boy is 5' 6" , the length of the shadow of boy = 4 ft and the shadow of length of flagpole is 18 ft.
Use conversion: 1 ft = 12 in
Now, convert the height of the boy from feet and inches to feet, using above conversion.
5' 6" = [tex]5' 6" = 5' + (\frac{6}{12})' = 5' + (\frac{1}{2})' = 5' + 0.5' = 5.5'[/tex]
Now, we write the ratio of the height and the length as:
[tex]\frac{Height of the boy}{Length of shadow of boy} = \frac{Height of the flagpole}{Length of shadow of flagpole}[/tex]
then;
[tex]\frac{5.5}{4} = \frac{x}{18}[/tex]
Multiply both sides by 18 we get;
[tex]\frac{5.5}{4}\times 18= \frac{x}{18} \times 18[/tex]
Simplify:
[tex]x = \frac{99}{4} = 24.75 ft[/tex]
Therefore, the height of flagpole to the nearest tenth is, 24.7 ft
