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.

Question

asked Jun 16, 2021 73.0k views

1 Answer

Urska Krivc · Answer 1 · 2021-06-22T01:06:59+0000

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