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dedylja [7]
3 years ago
7

A man who is 2 meters tall is facing a tower that is 13 meters away. He can see the reflection of the top of the tower in a pudd

le that is 0.5 meter in front of him. What is the approximate height of the tower in meters?
Mathematics
2 answers:
Vlad [161]3 years ago
6 0
The concept that can be used in order to answer this item is that of ratio and proportion. The ratio of the man's height and the length of his shadow should be proportional or equal to the ratio of the tower height and length of its shadow. If we let x be the height of the tower, the equation that would help us solve this item is,
             
                        2 / x = 0.5 / 13.5
The value of x is equal to 54. Thus, the tower's height is approximately 54 meters. 
vodomira [7]3 years ago
5 0

Hello, The answer is actaully 50

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D

Step-by-step explanation:

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\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\5&-4&4&|&-7\end{array}\right)

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Divide the third row by 6:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&1&-1&|&3\end{array}\right)

Now multiply  the third equation by 26 and add it to the second row:

\left(\begin{array}{ccccc} 3&-4&-5&|&-27\\0&-26&-19&|&-168\\0&0&-45&|&-90\end{array}\right)

You get the system of three equations:

\left\{\begin{array}{r}3x-4y-5z=-27\\-26y-19z=-168\\-45z=-90\end{array}\right.

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Now substitute z=2 and y=5 into the first equation:

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