A flagpole casts a shadow 10 ft long. if a man 6 ft tall casts a shadow 4ft long at the same time of day, how tall is the flagpole?

Question

Mathematics

Uriah Harmon

8 July, 02:45

A flagpole casts a shadow 10 ft long. if a man 6 ft tall casts a shadow 4ft long at the same time of day, how tall is the flagpole?

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Answers (1)

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Evelin Morrow · Answer 1

It is like cross multiplication, which is the actually height over the height it casts.

which is. 6ft. / 4ft. = x / 10ft.

x is the unknown height the flagpole and 10ft is the height of the shadow.

You then cross multiple.

Which will give you

4ft. x = 10ft. * 6ft.

which will give you

4ft. x = 60ft.

so you switched the place of the 4ft. to the oppose side, it will give you : 4ft.

It is : because 4ft. has a variable which is x (can also so be any letter, but I used x instead).

you are now left with

x = 60ft. : 4ft.

x = 15ft.

(15 because 60 : 4 is 15 and ft because you are asked to find how tall the flagpole is in ft.)