A tree casts a 50 foot shadow. At the same time of day, a 4 foot man standing near the tree casts a 10 foot shadow. What is the approximate height of the tree to the nearest foot?

User Icon for Your Mom Your Mom answered
12 years ago

Can someone answer the question, i'm kind of in a rush.

User Icon for Ms. Sue Ms. Sue answered
12 years ago

Cross multiply and solve for x.

x/50 = 4/10

User Icon for Your Mom Your Mom answered
12 years ago

Thanks(:

User Icon for Ms. Sue Ms. Sue answered
12 years ago

You're welcome.

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the height of the tree, we can set up a proportion using the shadow lengths.

Let's use "h" to represent the height of the tree.

The proportion can be written as:

(height of tree / length of tree's shadow) = (height of man / length of man's shadow)

or

(h / 50) = (4 / 10)

To solve the proportion, we cross-multiply:

10h = 4 * 50

10h = 200

Divide both sides of the equation by 10:

h = 200 / 10

h = 20

So the approximate height of the tree is 20 feet.