2006-10-11 07:45:16 · 6 answers · asked by Teresa A 1 in Science & Mathematics ➔ Mathematics
The problem is based on realizing that the proportions will be the same (i.e., the length of the shadow is proportional to the height of the object).
0.4 m is to 1 meter, as 5 m is to T meters.
T = 12.5 m (since the answer will soon appear here anyway).
where T is the height of the tree.
Aloha
2006-10-11 07:48:03 · answer #1 · answered by Anonymous · 2⤊ 0⤋
It's a simple proportion problem. You have to use pythagorean's theorem to find the distance from the end of the shadow to the top of the meter stick, and use those values to calculate the height of the tree. Draw two triangles, one representing the meterstick, and the other representing the tree, and find the remainding values by a^2 plus b^2 equals c^2.
Answer: the tree is 12.5 meters tall
2006-10-11 07:51:27 · answer #2 · answered by ixion151 1 · 0⤊ 0⤋
Since .4 m is to 1 m, as the height of the tree is to 5 m, you can express it as
1/(.4) = X/5 Where X is the height of the tree.
Solving for X by multiplying both sides by 5 you get
5*(1/.4) = X
There for X = 12.5 m
2006-10-11 07:58:37 · answer #3 · answered by Buzlite 2 · 0⤊ 0⤋
The shadow of the tree is 12.5 times as long as the shadow of the meterstick.
Therefore the tree is 12.5 times as long as the meterstick.
The tree is 12.5 meters tall.
2006-10-11 07:48:35 · answer #4 · answered by dutch_prof 4 · 0⤊ 0⤋
1/,4 = (1+x)/5.4
5.4=.4(1+x)
5=.4x
.
x=12.5 m
2006-10-11 08:04:46 · answer #5 · answered by rwbblb46 4 · 0⤊ 0⤋
x:5::1:.4
0.4x=5
x=12.5 m
2006-10-11 07:47:17 · answer #6 · answered by raj 7 · 1⤊ 0⤋