If a tree casts a shadow of 11 ft at the same time that a 6-ft person casts a shadow of 2 ft, find the height of the tree (to the nearest foot).
A) 33 ft
B) 6 ft
C) 2 ft
D) 17 ft
E) 11 ft

Question

If a tree casts a shadow of 11 ft at the same time that a 6-ft person casts a shadow of 2 ft, find the height of the tree (to the nearest foot). ​
A) 33 ft
B) 6 ft
C) 2 ft
D) 17 ft
E) 11 ft

Quizplus · Accepted Answer

Let x be the height of the tree.

Then we have the proportion:

height of tree / length of tree's shadow = height of person / length of person's shadow

x / 11 = 6 / 2

Simplifying this we get:

x = 33

So the height of the tree is 33 ft. Therefore, the answer is A.

If a Tree Casts a Shadow of 11 Ft at the Same