SOLUTION: A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue is 69 cm long. Find the height of the tree. Round results to the nearest unit.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue is 69 cm long. Find the height of the tree. Round results to the nearest unit.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 237900: A tree casts a shadow 21 m long. At the same time, the shadow cast by a 46-cm tall statue is 69 cm long. Find the height of the tree. Round results to the nearest unit.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Use similar right triangles in which the bases represent the shadows and the heights represent the heights of the tree and the statue.
Using proportions, the height of the tree (h) is to the height of the statue as the shadow-length of the tree is to the shadow-length of the statue.
h%2F46+=+21%2F69
h+=+21%2846%29%2F69
h+=+966%2F69
h+=+14meters.