Im helping my little sister with her homework and we're stuck. Here's the problem
Suppose a roller coaster casts a shadow of 31.5 feet. At the same time a nearby Ferris wheel casts a 19 foot shadow. If the roller coaster is 126 feet tall, how tall is the Ferris wheel?
If you can explain to me how to solve it or give me the answer it'd be great. Thanx.
2007-01-18 14:32:20 · 5 answers · asked by Chulis 3 in Science & Mathematics ➔ Mathematics
You can solve it very easily by ratio
Let the wheel br x feet
hence
x/19=126/31.5
=>x=126X19/31.5
=76 feet.
2007-01-18 15:01:36 · answer #1 · answered by alpha 7 · 0⤊ 0⤋
If a 126 feet tall makes a 31.5 feet shadow, than a 19 feet shadow is made by "X" feet tall ferris.
Therefore, X = 126 * 19 / 31.5
So, the ferris is 76 feet tall.
2007-01-18 22:40:58 · answer #2 · answered by misen55 7 · 0⤊ 0⤋
divide 126 by 31.5 and ultiply by 19=(126/31.5)*19=76
the explanation is
if 125 feel tall rolle coaster casts a shadow of height 31.5 then you find the height per a unit feet of a shadow by dividing 125 by 31.5=3.96ft
If 3.96ft of a height creates a shadow of a 1ft.
then to find out for 19foot shadow u multiply 3.96 by 19
to get 76ft
2007-01-18 23:20:17 · answer #3 · answered by SOAD_ROX 2 · 0⤊ 0⤋
126/31.5=x/19
x - the Ferris wheel tall
x=19*126/31.5=76 ft
2007-01-18 22:39:53 · answer #4 · answered by 121221 2 · 0⤊ 0⤋
it is a proportion between the height of the object and the length of the shadow. Height of object A divided by length of shadow A is equal to height of object B divided by length of shadow B.
126/31.5 = x/19
x = 76
2007-01-18 22:38:51 · answer #5 · answered by Al 2 · 0⤊ 0⤋