Question

a mailbox that is a 4 1/2 feet tall cast a shadow that is 6 feet long at the same time a nearby ferris wheel cast a shadow 84 feet long find the height of the ferris wheel

Answer 1

378 feet

Explanation:

Let's use proportions to solve this problem.

The height of the mailbox is 4.5 feet and its shadow is 6 feet long, so we can write:

4.5/6 = x/84

where x is the height of the ferris wheel.

To solve for x, we can cross-multiply and simplify:

4.5 * 84 = 6 * x

378 = x

Therefore, the height of the ferris wheel is 378 feet.

Answer 2

Answer: Let x be the height of the Ferris wheel. We can set up a proportion to solve for x:

(mailbox height) / (length of mailbox shadow) = (Ferris wheel height) / (length of Ferris wheel shadow)

Substituting the given values, we get:

4.5 / 6 = x / 84

Simplifying the left side, we get:

0.75 = x / 84

Multiplying both sides by 84, we get:

x = 63

Therefore, the height of the Ferris wheel is 63 feet.