SOLUTION: a 5 foot tall person lines up the top of a 35 feet tall flag pole with the top of a building. If he is 75 feet from the flag pole and the flagpole is 150 feet from the building, ho

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Question 257378: a 5 foot tall person lines up the top of a 35 feet tall flag pole with the top of a building. If he is 75 feet from the flag pole and the flagpole is 150 feet from the building, how tall is the building?
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a large triangle with 2 vertical lines inside the triangle.
Make one line 5 and the other 35.
Make the height of the triangle h.
Make the horizontal distance from 5 to vertex, x.
Make the distance from 5 ft to 35 ft. 75.
Make the distance from 75 ft. to H, 150 ft.
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we need proportions to solve this:
5%2Fx+=+35%2F%2875%2Bx%29
cross multiply to get
225+%2B+5x+=+35x
solve for x as
225+=+30x
x+=+7.5
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Now,
5%2F7.5+=+H%2F%28225+%2B+7.5%29
cross multiply to get
1162.5+=+7.5H
solving for H, we get
H+=+155+ft