# Yosief is 4 feet 9 inch boy. He stands in front of a tree and sees that it's shadow coincide with his. Yosief shadow measures 9 feet 6 inches. Yosief measures the distance between him and the tree to calculate its height, how does he do it?

Using the properties of similar triangle we can write

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Yosief can use similar triangles to calculate the height of the tree. The ratio of his height to his shadow's height is the same as the ratio of the tree's height to its shadow's height.

Yosief's height: 4 feet 9 inches Yosief's shadow: 9 feet 6 inches

Tree's shadow: 9 feet 6 inches

Using the ratios:

Yosief's height / Yosief's shadow = Tree's height / Tree's shadow

(4.75 feet) / (9.5 feet) = Tree's height / (9.5 feet)

Now, solve for the tree's height:

Tree's height = (4.75 feet / 9.5 feet) * (9.5 feet)

Tree's height = 4.75 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.

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