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Schach [20]
3 years ago
11

Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree

is 4 feet tall and it's shadow is 8.8 feet long. Next, Lydia measures the shadow cast by the flagpole and finds it is 22 feet long. What is the height of the flagpole?
Mathematics
1 answer:
cricket20 [7]3 years ago
7 0
The hight of the flag pole is i would say 44ft but i am not sure
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14(0.89)^{x + 4.5} = 162
\frac{14(0.89)^{x + 4.5}}{14} = \frac{162}{14}
0.89^{x + 4.5} = 11\frac{4}{7}
ln(0.89^{x + 4.5}) = ln(11\frac{4}{7})
(x + 4.5)ln(0.89) = ln(11\frac{4}{7})
\frac{(x + 4.5)ln(0.89)}{ln(0.89)} = \frac{ln(11\frac{4}{7})}{ln(0.89)}
x + 4.5 = -2101.14032500
x = 2105.64032500
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