Question

If the boy is 5' 6" tall and his shadow is 4 ft. and the shadow of the flagpole is 18 ft., determine the height of the flagpole (to the nearest tenth).

Answer 1

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" = $5' 6" = 5' + (\frac{6}{12})' = 5' + (\frac{1}{2})' = 5' + 0.5' = 5.5'$

Now, we write the ratio of the height and the length as:

$\frac{Height of the boy}{Length of shadow of boy} = \frac{Height of the flagpole}{Length of shadow of flagpole}$

then;

$\frac{5.5}{4} = \frac{x}{18}$

Multiply both sides by 18 we get;

$\frac{5.5}{4}\times 18= \frac{x}{18} \times 18$

Simplify:

$x = \frac{99}{4} = 24.75 ft$

Therefore, the height of flagpole to the nearest tenth is, 24.7 ft

Answer 2

Answer:

Its 24.8 on odyssey

Step-by-step explanation: