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If a girl 1.2 meters tall casts a shadow 2 meters long, how many meters tall is a tree that casts a shadow 75 meters long at the same time?

Answer 1

Julia Adams

I got #45m#

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Answer 2

Eva Adamson

To solve this problem, we can use the concept of similar triangles. The ratio of the height of the girl to her shadow is the same as the ratio of the height of the tree to its shadow. So, we can set up a proportion:

( \frac{1.2}{2} = \frac{x}{75} )

Solving for (x), the height of the tree:

( x = \frac{1.2 \times 75}{2} = 37.5 ) meters tall.

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Answer from HIX Tutor

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.