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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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:

cross multiply to get

solve for x as


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Now,

cross multiply to get

solving for H, we get