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3 years ago

A teenage boy is 6 ft tall and casts a shadow of 8ft.What is the distance from the top of his head to the end of his shadow?

Mathematics

2 answers:

Dmitrij [34]3 years ago

7 0

The decimal format of this is 9.16515139

However converted to feet your looking at about 5 feet 2 inches

lisabon 2012 [21]3 years ago

4 0

Answer:

10 feet

Step-by-step explanation:

This image forms a special right triangle: 3-4-5. This represents the ratios of the sides.

Multiplying 3-4-5 by 2, you get 6-8-10. 10 is the hypotenuse (the answer you want) and the only number not listed in the problem.

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Please explain fully and i give brainiest thanks and 5 stars

otez555 [7]

Answer:

$a=7,\\b=3$

Step-by-step explanation:

The area of a rectangle is equal to $A=l\cdot w$ , where $l$ is the length of the rectangle and $w$ is the width of the rectangle. In a rectangle, opposite sides are equal.

Therefore, we can write the following system of equations:

$\begin{cases}a\cdot (9+b)=84,\\a\cdot b=21\end{cases}$

Expand the first equation:

$9a+ab=84$

Substitute the second equation into the first ( $ab=21$ ):

$9a+21=84,\\9a=63,\\a=\boxed{7}$

Solving for $b$ :

$7b=21,\\b=\frac{21}{7}=\boxed{3}$

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