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When a 40-foot pole casts a shadow of 30 feet, how tall is a nearby tree that casts a shadow of 15 feet?
Question
When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?
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Mathematics
3 years
2021-08-24T03:43:56+00:00
2021-08-24T03:43:56+00:00 2 Answers
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Answers ( )
Set up a ratio with height over shadow height:
40/30 = x/15
Cross multiply:
40 x 15 = 30x
600 = 30x
Divide both sides by 30:
X = 20
The tree is 20 feet tall.
Answer:
20
Step-by-step explanation:
It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15
30 = 2 * 15
So we simply do that to 40 too.
40 / 2 = 20
So 20 is our answer.