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Tatiana [17]
3 years ago
12

A building that is 25 meters tall casts a shadow that is 6 meters long. At the same time, a tree cast a shadow that is 4 meters

long. How tall is the tree?
(Freshman highschool math problem)
Mathematics
1 answer:
Kamila [148]3 years ago
3 0
God I remember when I had to that last year in 7th grade honors. I know you have to set up a proportion.

25/6. X/4. Find x and you get your answer
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y=mx+c

I picked the points (0, -4) and (-2,-10) to find the gradient of the line

M= rise/run

= 6/2

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Y-intercept is at - 4

Y= 3x - 4 is equation of the line given

Reciprocal of 3 is 1/3

(m1 x m2 = - 1)

So, to make - 1, our second gradient should be negative.

Gradient of the perpendicular line will be - 1/3

Y= - 1/3x + c

Substitute value of x & y into the equation

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6 = 2 + c

-2

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Thus, final equation we're after will be:

y= - 1/3x + 4

Hope this helps!

6 0
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marishachu [46]
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An example will be √2.

Reason:
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