A carpenter needs three pieces of wood to complete a furniture. The longest piece must be twice the length of the middle-sized piece. The shortest piece must be 2 in. Shorter than the middle-sized piece. If a board 70 in. Long is to be used, then find the length of each piece.

Shortest piece = 16 in.

Middle piece = 18 in.

Longest pice = 36 in.

Step-by-step explanation:

Let x be the length of the shortest piece.

as per given, length of the middle piece = x+2

Length of the longest piece=2(x+2)

Total length = 70 in.

i.e.

Shortest piece = 16 in.

Middle piece = 18 in.

Longest pice = 2(18) in.

= 36 in.

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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