2007-08-23 05:47:54 · 8 answers · asked by bakin2it 1 in Science & Mathematics ➔ Mathematics
9/15 = x/25
x=15
The tree is 15 ft.
2007-08-23 05:51:19 · answer #1 · answered by de4th 4 · 1⤊ 0⤋
Let height of tree be h ft
Angle of elevation for tree = θ
Angle of elevation for light pole = θ
tan θ = 9 / 15
tan θ = h / (25)
h / 25 = 9 / 15
h = 25 x 9 / 15
h = 5/3 x 9
h = 15 ft
Height of tree = 15 ft
2007-08-27 12:14:54 · answer #2 · answered by Como 7 · 0⤊ 0⤋
Let x = height of a tree in ft
Ratio:
x is to 25 and 9 is to 15
Equation:
15x = 25 * 9
15x = 225
x = 225 / 15
x = 15
Answer: 15 ft is the height of a tree.
2007-08-27 07:53:23 · answer #3 · answered by Jun Agruda 7 · 3⤊ 0⤋
The tree & its shadow and pole & its shadow form similar triangles.
So ratio of sides opposite to equal angles are equal.
Let similar triangles are ABC and DBE, where
AB = pole = 9
BC = pole's shadow = 15
DB = tree = x
BE = tree's shadow = 25
So 9/15 = x/25 ( ratio of sides opposite to equal angle ACB , DEB and angles BAC and BDE)
cross multiply
15x = (25)*(9)
x =(25)(9)/15
= 15
so height of tree = 15 feet
2007-08-23 13:06:57 · answer #4 · answered by mohanrao d 7 · 0⤊ 0⤋
25 is to what as 15 is to 9?
25/x = 15/9
cross multiply
9*25 = 15 * x
225 = 15x
15 = x
2007-08-23 12:54:58 · answer #5 · answered by soelo 5 · 0⤊ 0⤋
Cross multiply. You can do it in your head......................
or say 15 is to 9 as 25 is to...........
2007-08-23 12:51:49 · answer #6 · answered by muddypuppyuk 5 · 0⤊ 0⤋
Cross multiply it.
It's 15ft.
2007-08-23 12:52:56 · answer #7 · answered by ? 2 · 0⤊ 0⤋
the tree would be about a twenty foot tree
2007-08-23 12:51:29 · answer #8 · answered by Ddvanyway 4 · 0⤊ 2⤋