Mathematics, 15.01.2020 23:31 jaydaxox15

Ineed
allison is 5 feet tall. one afternoon her shadow measured 2.5 feet. at the same time, the shadow of her favorite tree was 14.5 feet. what was the height of the tree?

a. 7.25 ft
b. 12.4 ft
c. 17 ft
d. 29ft

Answers

Answer from: gatorr2010

Step-by-step explanation:

well as you can see your shadow in afternoon is half of your original hieght,so if the shadow of the tree is 14.5 you would need to multiply it by two to get the original

Answer from: Quest

Aand b is what i think

Answer from: Quest

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

$m_ {1} * m_ {2} = - 1$

then, given the following line:

$6x-3y = 18\\6x-18 = 3y$

$\frac {6x} {3} - \frac {18} {3} = y\\y = \frac {6x} {3} - \frac {18} {3}\\y = 2x-6$

so, $m_ {1} = 2$

we are looking for m_ {2}:

$m_{2}=\frac{-1}{m_{1}}\\m_{2}=\frac{-1}{2}\\m_{2}=-\frac{1}{2}$

then, the line is given by:

$y = - \frac {1} {2} x + b$

we find "b" replacing the given point:

$8 = - \frac {1} {2} (0) + b\\8 = b$

finally, the equation is:

$y = - \frac {1} {2} x + 8$

option c

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allison is 5 feet tall. one afternoon her shadow measured 2.5 feet. at the same time,...