The shadow cast by a one-foot ruler is 8 inches long. At the same time, the shadow cast by a pine tree is 24 feet long. What is the height, in feet, of the pine tree?
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To find the height of the pine tree, we can set up a proportion using the lengths of the shadows and the corresponding heights of the objects:
Height of pine tree / Length of pine tree's shadow = Height of ruler / Length of ruler's shadow
Let's denote the height of the pine tree as 'h':
h / 24 feet = 1 foot / 8 inches
To solve for 'h', we first need to convert all units to the same measurement. Let's convert 1 foot to inches:
1 foot = 12 inches
Now our proportion becomes:
h / 24 feet = 12 inches / 8 inches
Simplifying:
h / 24 = 12 / 8
h / 24 = 1.5
To find 'h', we multiply both sides by 24:
h = 1.5 * 24
h = 36
Therefore, the height of the pine tree is 36 feet.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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