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prohojiy [21]
3 years ago
5

A 4​-ft vertical post casts a 12​-in shadow at the same time a nearby cell phone tower casts a 118​-ft shadow. How tall is the c

ell phone​ tower?
Mathematics
2 answers:
azamat3 years ago
7 0

Answer:

6 ft

Step-by-step explanation:

stiv31 [10]3 years ago
5 0

Answer:

height of vertical post = 6ft

its shadow = 20 in

For all shadows cast at the same time, the ratio of the height of a shadow-casting structure to the length of its shadow is the same. (Assuming, of course, that it's the sun casting the shadows.)

So the ratio is  

4 feet / 12 inches = 4 feet / 1 foot = 4/1 = 4,

and if h is the height of the cell tower,

h/122 feet = 4

h = 4 x 122 feet = 488 feet. <---------------- Final answer

Hope I helped,

-Adrian Velez

Step-by-step explanation:

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Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it R_{empty} empties the lake in 10 weeks and a river (with rate R_{river} can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

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Using the same idea, we can obtain that the filling rate of the river is:

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