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) (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.
--
we need proportions to solve this:
cross multiply to get
solve for x as
--
Now,
cross multiply to get
solving for H, we get
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