Mathematics
29.09.2021 01:11
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Solve using a proportion. round to the nearest hundredth. a 9-meter flagpole casts

Solve using a proportion. round to the nearest hundredth. a 9-meter flagpole casts a 7-meter shadow. the cell tower next to the flagpole is 16.2 meters tall. how many meters long is the cell tower’s shadow?
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maxy7347go
maxy7347go
4,4(30 marks)

using proportion in similar triangle, then

let x be the length of the tower's shadow

\frac{9}{16.2} = \frac{7}{x} ( cross- multiply )

9x = 113.4 ( divide both sides by 9 )

x = \frac{113.4}{9} = 12.60 m ( to the nearest hundredth )

ashley8057
ashley8057
4,7(74 marks)

\large\boxed{x=\dfrac{1}{4}}

Step-by-step explanation:

-18x-x=5x-6\\\\-19x=5x-6\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\-19x-5x=5x-5x-6\\\\-24x=-6\qquad\text{divide both sides by (-24)}\\\\\dfrac{-24x}{-24}=\dfrac{-6}{-24}\\\\x=\dfrac{6:6}{24:6}\\\\x=\dfrac{1}{4}

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