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KonstantinChe [14]
3 years ago
8

Please help thanks attachment linked

Mathematics
1 answer:
Lerok [7]3 years ago
3 0

Answer:

x = 150

D

Step-by-step explanation:

1 / tan(90 - x) = -√3/3                   Cross multiply

3 = -√3 * tan(90 - x)                     Divide by -√3

3/-√3 = tan(90 - x)                       Rationalize the denominator

3 * √3 /  (- √3 * √3  ) =tan(90-x)

3 * √3 / - 3 = tan(90 - x)               Divide

- √3           = tan(90 - x)               Take the inverse tan of -√3

tan-1(-√3) = 90 - x

-60 = 90 - x                                  Add x to both sides.

x - 60 = 90                                   Add 60 to both sides

x = 150

 

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<em><u>Solution:</u></em>

Given that, village having a population of 4000, requires 150 litres of water per head per day

<em><u>Let us first find the volume of tank</u></em>

The tank measuring 20m x 15m x 6m

Length = 20 m

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Height = 6 m

volume\ of\ tank = length \times breadth \times height

Volume\ of\ tank = 20 \times 15 \times 6 = 1800

Thus volume of tank is 1800 cubic meter

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<em><u>Therefore, water required for 4000 people per day is:</u></em>

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600000 \text{ liters } = 600000 \times \frac{1}{1000}\ m^3\\\\600000 \text{ liters } = 600\ m^3

<em><u>How many days will the water of this tank last?</u></em>

\text{Number of days water will last } = \frac{\text{volume of tank}}{\text{total water required per day}}

\text{Number of days water will last } = \frac{1800}{600} = 3

Thus the water will last for 3 days

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