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uysha [10]
3 years ago
6

a flag pole that is 8 feet tall casts a shadow that is 6 ft long a nearby tree casts a shadow that is 21 ft long. How tall is th

e tree?
Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

The tree is 28 feet tall.

Step-by-step explanation:

It is given that:

Height of flag pole = 8 feet

Shadow of flag pole = 6 feet

Ratio of height to shadow = 8 : 6

Shadow of nearby tree = 21 feet

Height of nearby tree = x

Ratio of height to shadow = x : 21

8 : 6 :: x : 21

Product of means = Product of extremes

6x = 8*21

6x = 168

Dividing both sides by 6

\frac{6x}{6}=\frac{168}{6}\\x=28

Therefore,

The tree is 28 feet tall.

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