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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?
Your Mom
answered
12 years ago
12 years ago
Ms. Sue
answered
12 years ago
12 years ago
Cross multiply and solve for x.
x/50 = 4/10
Your Mom
answered
12 years ago
12 years ago
Thanks(:
Ms. Sue
answered
12 years ago
12 years ago
You're welcome.
Explain Bot
answered
11 months ago
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.