Mark casts a shadow that is 4 feet long. At the same time, a nearby tree casts a shadow that is 20 feet long. If Mark is 6 feet tall, how tall is the tree? 24

Ответ:

We can solve this problem using proportions. Let's set up a proportion relating the lengths of the shadows to the heights of Mark and the tree.

The proportion is as follows:

(Length of Mark's shadow) : (Height of Mark) = (Length of tree's shadow) : (Height of tree)

Substituting the given values:

4 feet : 6 feet = 20 feet : x

To find the height of the tree (x), we can set up a ratio of the two proportions:

(4/6) = (20/x)

Cross-multiplying, we get:

4x = 6 * 20

Simplifying:

4x = 120

Dividing both sides by 4:

x = 120/4

Finally, we find:

x = 30

Therefore, the height of the tree is 30 feet.

Пошаговое объяснение: