2006-11-14 05:48:57 · 16 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
25 ft
2006-11-14 05:50:56 · answer #1 · answered by Hi 7 · 0⤊ 0⤋
we do not favor angles and such to artwork this issue All we favor to understand is that the tree and the gentle submit, and their respective shadows for similar good triangles. The shadows are the x axis aspects and the heights of each and every are the y axis aspects. because they're similar triangles the ratios of their heights to shadows are an similar. hence, h/s = H/S; the position h = height of the gentle pole, s = its shadow length, H = the height of the tree, and S is its shadow. So we've H = h(S/s) = 9(25/15) = 9(5/3); you may do the maths. Lesson realized: similar triangles (having an similar structure yet not inevitably an similar length) may have an similar ratio of their corresponding aspects no count number how enormous or small those similar triangles may be. playstation : because the tree shadow is more effective than the pole shadow, you should renowned that the tree is taller than the pole. Any answer on the opposite is clearly incorrect.
2016-11-29 03:30:41 · answer #2 · answered by duperne 4 · 0⤊ 0⤋
this is impossible to answer due to the fact that you dont have any other details... i'm asuming the light scource is the sun right? what is the angle of the sun to the tree? is there anything else for example a 5 foot person casting a shadow that is 7ft long? if there is you need to set up a proportion. put 25 over x is equal to 5 over 7 and cross multiply... u should get it from there
2006-11-14 05:53:40 · answer #3 · answered by James D 2 · 0⤊ 0⤋
It would depend on the position of the light causing the shadow. if the sun is at the horizon, a three foot tree could cast a twenty five foot shadow. the position of the light is needed for this equation
2006-11-14 05:56:22 · answer #4 · answered by Windweaver 4 · 0⤊ 0⤋
25tan(x) where x is the angle of the sun. If you know the length the sunlight traveled from the top of the tree to the tip of the shadow, you can use the pythagorean theorem. If you know x in the formula above, then most calculators come with a tangent button, you can calculate it on a calculator.
2006-11-14 05:53:57 · answer #5 · answered by inventingtech 2 · 0⤊ 0⤋
It depends on the inclination of the sun to the tree.
The tree could be anything between 0 to infinity, noted as (0,infinity), metres in height.
If the sun is at an inclination of dx to the vertical of the tree, the tree could be a height to up to infinity
If the sun is at an inclination of 90 degrees-dx (or Pi-dx), the tree could be as small 0, but exluding 0 itself.
2006-11-14 05:50:39 · answer #6 · answered by Oz 4 · 0⤊ 0⤋
Depends on the angle of the sun
2006-11-14 05:50:03 · answer #7 · answered by keith s 5 · 1⤊ 0⤋
Need to know the angle of the light source.
2006-11-14 05:52:47 · answer #8 · answered by Anonymous · 0⤊ 0⤋
you need more information.
Find the length of the shadow from something of known height, make a triangle, and basically scale it up.
2006-11-14 05:51:37 · answer #9 · answered by BobRoberts01 5 · 0⤊ 0⤋
That's impossible to calculate unless you know the angle of the sun.
2006-11-14 05:50:32 · answer #10 · answered by Anonymous · 0⤊ 0⤋