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Finding the cubic yard

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An engineer's plan shows a canal with a trapezoidal cross section that is 8 ft deep and 14 ft across at the bottom with walls sloping outward at an angle of 45 degrees. The canal is 620 ft long. A contractor bidding for the job estimates the cost to excavate the canal at $1.75 per cu yd. If the contractor adds 10% profit, what should the bid be?

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The expert examines finding a cubic yard.

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A rough sketch for the problem can be drawn as
The angle given at A is 450; hence the length BC and AB should be equal. So, we have the ...

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