Find the answer to the following problem. please explain your answer.
In the hot afternoon sun, Dave walked outside to a large shade tree. Standing beside the tree, Dave who is 5 feet 6 inches tall casts a shadow 12 feet long. The tree casts a shadow 28 feet longer than Dave’s shadow. How much taller than Dave is the tree? Your answer should be given in the form of feet and inches.
2007-12-23 10:39:09 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
you should do your own homework :P
all the best
2007-12-27 07:50:47 · answer #1 · answered by kamal d 3 · 0⤊ 0⤋
12 inches = 1 feet (12" = 1')
12' / 5' 6" = 40' / x"
where x is the height of the tree in inches
12*12 / (5*12+6) = 40*12 / x
x = (40*12)*( 5*12 + 6) / 12*12
= 480*66 / 144
= 220 "
height of the tree 18' 4" (18 feet 4 inches)
How much taller than Dave is the tree
Height of Dave = 5 feet 6 inches = 66 inches
height of the tree = 220 inches
difference = 220 - 66 = 154 inches
= 12 feet 10 inches
2007-12-23 21:33:44 · answer #2 · answered by Natali 2 · 0⤊ 0⤋
Let the height of the tree be x inches.
Find the height of David in inches:
5 ft 6 in = [5(12) + 6] in = 66 in
Find the length of the shadow caused by David in inches:
12 ft = 12(12) in = 144 in
Find the length of the shadow caused by the tree:
28 ft = 28(12) in = 336 in
(144 in) + (336 in) = 480 in
Find the height of the tree:
x : 480 = 66 : 144
x * 144 = 480 * 66
144x = 31680
144x / 144 = 31680 / 144
x = 220
Find the height of the tree in feet and inches:
220 in = 18 ft 4 in
Hence, the height of the tree is 18 ft 4 in.
2007-12-23 10:46:14 · answer #3 · answered by Emma C 1 · 2⤊ 0⤋
7 feet and 4 inches. First you divide the trees shadow by the persons shadow. Then multiply that by the by the persons height (5.5). You then should get 12.8333333333 which equals 12 feet 10 inches. Subtract that by his height.
2007-12-23 11:01:18 · answer #4 · answered by spiger 2 · 0⤊ 0⤋
Let the tree be x feet tall.
5.5 ft (Dave) casts a shadow 12 ft long
12 ft shadow means height is 5.5 ft
1 ft shadow means height is 5.5/12 ft
40 (28+12) ft shdow means height is (5.5/12)(40)= 18 1/3 ft
18 ft 4 inches.
2007-12-23 10:56:07 · answer #5 · answered by cidyah 7 · 0⤊ 0⤋
66 - 12
x - 40
x = (40x66)/12 = 220
220 - 66 = 154. 154 inches or 12 feet and 10 inches
I think..
Emma C you need to substract 5 feet and 6 inches from your answer, because it asks for the difference
2007-12-23 10:46:07 · answer #6 · answered by Johnny 2 · 1⤊ 0⤋
x is to 12+26 = 40
5.5 is to = 12
x = 40*5.5/12 = 18.3333
2007-12-23 11:36:34 · answer #7 · answered by Steve B 6 · 0⤊ 0⤋
IDK how to work this out. I tried
making equivalent fractions or
making a scale for Dave to the tree.
I'm not much good at math so i suggest you try doing one of those things urself.
oh i feel stupid now to everyone elses answer.
2007-12-23 10:48:23 · answer #8 · answered by fullyxalive 2 · 0⤊ 1⤋
k. draw a picture and set up a porportoin thing. thats all i can say. like... 5.5 over 12 then x over 28
that should help
2007-12-23 10:43:39 · answer #9 · answered by Anonymous · 1⤊ 1⤋
dsc: samm knows how to use the pythagoras theorem, the thing is how?. Now we will show him how. Unless you edit your answer first ('cause you're in top of me...)
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Emma had it right!!. Give her the best answer please!!
2007-12-23 10:42:03 · answer #10 · answered by artie 4 · 0⤊ 1⤋