SOLUTION: if you are 1500 feet from a very tall tower and look up at a 45 degree angle to see the top how tall is the tower

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Question 316628: if you are 1500 feet from a very tall tower and look up at a 45 degree angle to see the top how tall is the tower
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The distance from the building, the height of the building form two legs of a right triangle. The distance from you to the top is the hypotenuse.
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OPP%2FADJ=tan%2845%29
OPP%2F1500=1
OPP=1500
The building is 1500 feet tall.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
if you are 1500 feet from a very tall tower and look up at a 45 degree angle to see the top how tall is the tower? 



Since there is a 90° angle and a 45° angle, the third angle is

180° - (90° + 45°) = 180° - 135° = 45°

So the triangle has two congruent acute angles and so it is
an isosceles right triangle.  That means both legs have the same
measure, and since we are given that the horizontal leg is 1500 
feet, the vertical leg, which is the tower, is also 1500 feet.
Notice that an isosceles right triangle (often called a 45-45-90
triangle) is one-half of a square cut down the diagonal, as you
can see from the drawing below:


Edwin