Question

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 the tree?

Answer 1

The tree is 28 feet tall.

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

`(6x)/(6)=(168)/(6)\\x=28`

Therefore,

The tree is 28 feet tall.