Question

PLEASE HELP!!!!!!!!!!!!!Lance is 5 feet tall. His shadow is 8 feet long. At the same time of day trees shadow is 32 feet long. What is the height of the tree in feet.

Answer 1

20 feet

Explanation:

5 feet Object = 8 feet shadow

8 feet shadow = 5 feet Object

8 feet shadow = 5 feet Object

1 foot shadow = 5 ÷ 8 = 5/8 foot object

1 foot shadow = 5/8 foot object

32 feet shadow = 5/8 x 32 = 20 feet object

Answer 2

20 ft

Explanation:

The right triangles formed by Lance and his shadow and the tree and it's shadow are similar, hence the ratios of corresponding sides are equal.

Let the height of the tree be h, then

`(5)/(h)` =
`(8)/(32)` =
`(1)/(4)`

cross- multiply to obtain

h = 5 × 4 = 20

The height of the tree is 20 ft