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The shadow of a woman standing next to a tree is 3 feet long, and the shadow of the tree is 12 feet long. If the woman is 5 feet, 6 inches tall, how tall, in feet, is the tree?

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Question:

A
22

explanation

To determine the height of the tree, we can set up a proportion using the given information:

Let's denote the height of the tree as "h" (in feet).

The length of the woman's shadow is 3 feet, and her height is 5 feet 6 inches, which can be converted to 5.5 feet.

The length of the tree's shadow is 12 feet.

We can set up the following proportion:

(Height of the woman) ÷ (Length of the woman's shadow) = (Height of the tree) ÷ (Length of the tree's shadow)

5.5 feet ÷ 3 feet = h ÷ 12 feet

Now, we can solve for "h" by cross-multiplying and dividing:

3 × h = 5.5 × 12

3h = 66

h = 66 ÷ 3 = 22

Therefore, the height of the tree is 22 feet.

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