Question

If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts

a 33-foot shadow, how tall is the tree (in feet)?

Answer 1

The tree is 48 feet tall. This can be determined by using the ratio of the shadows. The ratio of the pole's shadow to the tree's shadow is 33. This means that for every 6 feet the pole casts, the tree casts 33 feet. Therefore, if the pole is 8 feet tall, the tree must be 48 feet tall (8 x 6 = 48).

Answer 2

The tree is 44 feet

Explanation:

`(8)/(6)` is equivalent to
`(4)/(3)` (divide the numerator and denominator by 2)

`(4)/(3)` =
`(x)/(33)`

3 x 1 = 33, so 4 x 11 = 44