Posted by Marion on Wednesday, March 23, 2011 at 1:29am.
A tower casts a shadow of 64 feet. A 6foot tall pole near the tower casta a shadow 8 feet long. How tall is the tower.

geometry  drwls, Wednesday, March 23, 2011 at 9:07am
The heighttoshadowlength ratio is the same for both pole and tower. That is because the sun is at the same angle in the sky for both. You have similar right triangles formed by object, its shadow on the ground and the slated sunbeam that comes down to the ground from the top.
Let H be the tower height.
H/64 = 6/8 = 3/4
H = 64*3/4 = 48 feet
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