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blsea [12.9K]
3 years ago
11

From a distance of 20 meters, from its base, the angle of elevation of the top of a building is 32 degrees. Find the height of t

he building.
Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

TAN(32°) = x/20 --> x = 12.50 m

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A 500-gallon tank initially contains 220 gallons of pure distilled water. Brine containing 5 pounds of salt per gallon flows int
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Answer: The amount of salt in the tank after 8 minutes is 36.52 pounds.

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Salt in the tank is modelled by the Principle of Mass Conservation, which states:

(Salt mass rate per unit time to the tank) - (Salt mass per unit time from the tank) = (Salt accumulation rate of the tank)

Flow is measured as the product of salt concentration and flow. A well stirred mixture means that salt concentrations within tank and in the output mass flow are the same. Inflow salt concentration remains constant. Hence:

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The tank capacity and capacity rate of change given in gallons and gallons per minute are, respectivelly:

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Since there is no accumulation within the tank, expression is simplified to this:

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The instantaneous amount of salt in the tank is:

m_{salt} = (0.166 \frac{pounds}{gallon}) \cdot (220 gallons)\\m_{salt} = 36.52 pounds

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