A 6-foot tall man has a 9-foot shadow. At the same time, a tree he is standing next to has a 30-foot shadow.
How tall is the tree?
Answer options with 5 options
A.
20 feet
B.
27 feet
C.
45 feet
D.
21 feet
E.
24 feet
To solve the problem, we can use proportions.
Let's represent the height of the man as M and the height of the tree as T.
According to the problem, the man's height is 6 feet and his shadow is 9 feet. This creates the proportion: M/6 = 9/9, which simplifies to M/6 = 1.
Similarly, we can create a proportion for the tree. The height of the tree is T and its shadow is 30 feet: T/30 = 6/9.
To find T, we can cross multiply: T = (30 * 6)/9 = 20 feet.
Therefore, the height of the tree is 20 feet.
Answer: A. 20 feet.