Standing by a pole, a girl 31/2 feet tall casts a 6-foot shadow. The pole cast a 24-foot shadow. How tall is the pole?
2006-10-20 02:19:48 · 10 answers · asked by Anonymous in Education & Reference ➔ Homework Help
Thanks everyone for making me understand this problem!!!
2006-10-20 02:38:18 · update #1
Sorry Rajwant M, actually it's 3 1/2, sorry! But thanks for your response!
2006-10-20 02:44:52 · update #2
you just have to cross multiply and divide i think. Take 3.5 over 6, then x (x is the height of the pole) over 24. Cross multiply 24 and 3.5, which gives you 84. Then divide it by 6, which will give you a final answer of 14. I think that's how it's done.
2006-10-20 02:31:36 · answer #1 · answered by johnny 1 · 0⤊ 0⤋
You can use the law of similar triangles to solve this problem. The pole is 14 feet tall.
Set up a ratio: 3.5/6 = X/24
Cross Multiply: 3.5 X24 = 6X
Divide both sides by 6 to isolate the X
X = 3.5 X 24/6 X = 84/6
X = 14 feet. If you need some basics about Trigonometry you may write to me
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2006-10-20 02:52:36 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Since the pole's shadow is four times as long as the girl's shadow,
the pole will be four times as big as the 3 and 1/2 foot girl.
4 * 3.5 feet = 14 feet
2006-10-20 02:27:39 · answer #3 · answered by J G 4 · 0⤊ 0⤋
Let the length of the pole be x feet Therfore, (7/2)/6 =x/24 or 6x=24X7/2 =84 =>x=84/6=14 ft.ans
2006-10-20 02:31:58 · answer #4 · answered by alpha 7 · 0⤊ 0⤋
Set this up as a ratio:
3.5/x = 6/24
(girl's height over pole's height is proportionate to the girl's shadow over the pole's shadow)
Solve for x:
3.5/x = 1/4
x = 14 feet
2006-10-20 02:32:25 · answer #5 · answered by LadyJag 5 · 0⤊ 0⤋
According to me it`sanswer will in the this way as shown below:-
let the height is "X"
6 / 24=(31/2) / X
1 / 4=31 / 2 X
X=(31 * 4) / 2
X = 62
the height is 62 feet
Reply me if it is rigth.
if wrong reply with right solution.
Thanks
2006-10-20 02:37:26 · answer #6 · answered by RAJWANT M 1 · 0⤊ 0⤋
this is how I would do it:
3.5 / 6 = x / 24.......then I would solve for x :
6 . x = 3.5 . 24
x= 84 / 6 = 14 ft tall
2006-10-20 02:31:52 · answer #7 · answered by mini 1 · 0⤊ 0⤋
This should be right...I don't remember the cross multipling rules well...
Setup a ratio and solve for x
(3.5ft/6ft) = (24ft/xft)
24(3.5/6) = x
x = 14
2006-10-20 02:29:38 · answer #8 · answered by jasonstroble 3 · 0⤊ 0⤋
to solve using trig you would calculate the suns angle by taking Inv TAN = 3.5 / 4
angle = 30.2 degrees
taking the tan of the angle and applying it to the known value of 24 gives you
TAN 30.2 = X / 24
X = 14 ft.
hope this helps.
2006-10-20 02:31:48 · answer #9 · answered by sportyscott_28 3 · 0⤊ 0⤋
3.5/6 = x/24
x = 3.5 x 24 / 6
x = 3.5 x 4
x = 14 feet
2006-10-20 02:29:19 · answer #10 · answered by Anonymous · 0⤊ 0⤋