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barry14201
23.08.2019 •
Mathematics
A6 foot tall person is standing x feet away from a 10 ft lamppost. what is the distance d from the base of the lamppost to the end of the persons shadow, expressed as a function of x?
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Ответ:
d =![\frac{5x}{2}](/tpl/images/0189/7593/f0a91.png)
Step-by-step explanation:
Height of the person = 6 feet
Height of the lamppost = 10 feet
Let the distance between the man and end of shadow be = y
By using the concept of similar triangles:
=>![\frac{y}{6}=\frac{x}{4} }](/tpl/images/0189/7593/4ab2d.png)
So, y =![\frac{3x}{2}](/tpl/images/0189/7593/3f24d.png)
Now distance d will be = x + y
=![x+\frac{3x}{2}](/tpl/images/0189/7593/650d0.png)
d =![\frac{5x}{2}](/tpl/images/0189/7593/f0a91.png)
Ответ:
The area of the rectangle would be (11)(7) =77
The area of the square is (6)(6)=36
77+36=113
Hope this helped :)