Question

a tree stands 15 ft high. it’s shadow is 5 1/2 ft long. a man 6 ft tall stands near the tree. what would be the length of the man’s shadow to the nearest foot.

Answer 1

The length of the man’s shadow is 2.2 feet.

Explanation:

Let, the height of the tree =
`l_(1)` = 15 feet

Length of the shadow of the tree =
`s_(1)` = 5.5 feet

Height of the man=
`l_(2)` = 6 feet

Length of the shadow of the man=
`s_(2)` = ?

Ratio of length of objects = ratio of lengths of their shadows

`\frac{l_(1) }\frac{l_(2) }` =
`\frac{s_(1) }\frac{s_(2) }`

`(15)/(6)`=
`(5.5)/(s_(2))`

`(5)/(2)` =
`(5.5)/(s_(2))`

5
`s_(2)` = 5.5 × 2

`s_(2)` =
`(5.5 X 2)/(5)`= 2.2 Feet