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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).

User Kallen
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2 Answers

5 votes

Answer:

Its 24.8 on odyssey

Explanation:

User JoeBilly
by
7.8k points
4 votes

Answer:

The height of flagpole (to the nearest tenth) is, 24.7 ft

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

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


(Height of the boy)/(Length of shadow of boy) = (Height of the flagpole)/(Length of shadow of flagpole)

then;


(5.5)/(4) = (x)/(18)

Multiply both sides by 18 we get;


(5.5)/(4)* 18= (x)/(18) * 18

Simplify:


x = (99)/(4) = 24.75 ft

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

User RobSeg
by
8.3k points

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