document.write( "Question 29551: I'm not sure where to put this or to call it. We are comparing polygons and measurements....I have a word problem that I have been trying for hours to figure out...Could you help me... 7. You are standing 16 feet from the base of a flag pole. Both your shadow and the pole's shadow extend to the same point 4 feet from you. You are 5 feet tall. Find the height of the flag pole.....I'm in the 7th grade and i'm really stumped with this problem...Thank you...Nick \n" ); document.write( "
Algebra.Com's Answer #16349 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
It might be helpful if you could draw yourself a diagram of the problem. I find that difficult to do on this site so I'll describe it in words.\r
\n" ); document.write( "\n" ); document.write( "You are going to compare two similar right triangles.\r
\n" ); document.write( "\n" ); document.write( "Right triangle 1 consists of the flagpole, which is the height of this triangle, and the base is the distance from the foot of the flagpole to the end of its shadow. This distance is 16 ft + 4 ft = 20 ft.\r
\n" ); document.write( "\n" ); document.write( "Right triangle 2 consists of the 5 ft-tall person, which is the height of this triangle, and the base is the distance from the persons feet to the end of his/her shadow, 4 ft. away.\r
\n" ); document.write( "\n" ); document.write( "Now in similar triangles, corresponding sides are proportional.
\n" ); document.write( "Let the height of the flagpole be h. We can write the following proportion based on the available information from the problem statement:\r
\n" ); document.write( "\n" ); document.write( "\"h%2F20+=+5%2F4\" In words:
\n" ); document.write( " The height, h, of the flagpole is to the length of its shadow (20ft.) as the height of the person (5ft.) is to the length of his/her shadow (4ft.). Now we solve this proportion (equation) for h.\r
\n" ); document.write( "\n" ); document.write( "\"h%2F20+=+5%2F4\" Multiply both sides by 20.
\n" ); document.write( "\"h+=+20%285%2F4%29\"
\n" ); document.write( "\"h+=+25\"ft.\r
\n" ); document.write( "\n" ); document.write( "The height of the flagpole is 25 ft.\r
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