Please help me with this problem... Pretty please...
A tree casts a shadow of 42ft. at the same time that a yardstick casts a shadow of 2ft. How tall is the tree?
additional query:
How does the conversion goes again?
Thank you ever so much in advance! God bless! ^^,
2007-12-02 22:13:24 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
let angle made by tree and yardstick with ground = θ
Let height of tree = h ft
tan θ = h / 42
tan θ = 3 / 2
h / 42 = 3 / 2
h = 21 x 3
h = 63 ft
2007-12-02 23:01:47 · answer #1 · answered by Como 7 · 1⤊ 0⤋
1 yard = 3 feet. With similar triangles, the ratios of all the lengths of the sides are the same.
An object of 3 ft casts a shadow of 2 ft.
So the ratio of object to shadow = 3/2.
The tree is therefore 42 *3/2 = 63 ft.
2007-12-03 06:18:29 · answer #2 · answered by KeplJoey 7 · 0⤊ 0⤋
The tree is 63 feet tall , the ratio of similarity is 3/2
2007-12-03 06:25:46 · answer #3 · answered by Elmo 4 · 0⤊ 0⤋
3 / 2 = 63 / 42 so the tree is 63 feet tall.
2007-12-03 06:18:57 · answer #4 · answered by Guile M. 2 · 0⤊ 0⤋
One yard is 3 ft, right?
so the stick is reduced to 2/3 of its height, so the tree would be as well
so, height of tree = 42 x 3/2 = 63ft
2007-12-03 06:19:54 · answer #5 · answered by Jen 3 · 0⤊ 0⤋
well since a yardstick = three feet, two feet is 2/3 of it. 42 divided by two is 21. 42+ 21 = 63
63
2007-12-03 06:24:34 · answer #6 · answered by Whatupdawg 3 · 0⤊ 0⤋
assuming the yardstick is 3 feet
your equation would be
3/x = 2/42
126 = 2x
x = 63 ft
which is 19.2024 metres
as 1 ft = 0.3048 meters
2007-12-03 06:22:26 · answer #7 · answered by Anonymous · 0⤊ 0⤋
tree/tree's shadow = stick/stick's shadow
=> tree = tree's shadow*stick/stick's shadow
=> tree = 42ft*3ft/2ft = 63 ft.
2007-12-03 06:24:25 · answer #8 · answered by sv 7 · 0⤊ 0⤋