Question

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

A) 16 feet
B) 17 feet
C) 18 feet
D) 19 feet

Answer 1

ratio of object to shadow = 6/9 = x/25 (where x is the height of the tree)
x = (6 * 25)/9 = 16.67feet

x = approx. 17 feet

Answer 2

Answer is option b

17 feet.

Explanation:

Given that A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow.

for man actual height = 6 foot

Shadow = 9 foot

At a particular time, the height/shadow ratio would be constant

Hence 6/9 =x/25

Or x = 25(6)/9

x=16.67feet

Rounding off x=17 feet