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Natalija [7]
4 years ago
7

A water tower casts an 100 ft shadow. At the same time a 8 ft street sign casts a 6 ft shadow. what is the height of the tower?

Mathematics
2 answers:
riadik2000 [5.3K]4 years ago
7 0
We can set this into a proportion

6      100
--- = -----
8        x

then cross multiply and divide

8 times 100 =800 divided by 6 = 133

the height is 133
loris [4]4 years ago
3 0
A lakefront building that is 30 feet<span> high </span>casts<span> a </span>shadow<span> on the </span>water<span>. How long is that </span>shadow<span> if a 16-foot high truck parked nearby </span>casts<span> an </span>8-foot shadow<span>? ... A </span>traffic sign casts<span> a </span>shadow 6 feet<span> long while a mailbox next to it </span>casts<span> a ... At the </span>same time<span>, a person who is 6 </span>feet<span> tall </span>casts<span> a 4-foot </span>shadow<span>. How tall is the </span>tower<span>?</span>
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Steps to finding the inverse:
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The equation of the hyperbola is \frac{x^2}{4} -\frac{y^2}{12} = 1

<h3>How to determine the equation of the graph?</h3>

The points on the graph are given as:

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The hyperbola can be represented as:

\frac{x^2}{b^2} -\frac{y^2}{a^2} = 1

The points (2, 0) and (-2, 0) means that:

b = \±2

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So, we have:

\frac{x^2}{4} -\frac{y^2}{a^2} = 1

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Hence, the equation of the hyperbola is \frac{x^2}{4} -\frac{y^2}{12} = 1

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