SOLUTION: A tree stands 24 ft with an 8ft shadow. A tree next to it stands 72 ft. whats it shadow?? i came up with 24 ft but I'm not so sure I am right. please help! as always its greatly ap

Algebra ->  Length-and-distance -> SOLUTION: A tree stands 24 ft with an 8ft shadow. A tree next to it stands 72 ft. whats it shadow?? i came up with 24 ft but I'm not so sure I am right. please help! as always its greatly ap      Log On


   

Question 437717: A tree stands 24 ft with an 8ft shadow. A tree next to it stands 72 ft. whats it shadow?? i came up with 24 ft but I'm not so sure I am right. please help! as always its greatly appreciated (:
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Writing the proportions of similar triangles we have:
Let x ft the shadow of the next tree.
24%2F8=72%2Fx, solving this equation: 24x=8%2A72 => x=%288%2A72%29%2F24
x=24ft.
Answer:The shadow of the next tree is 24 ft.