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4 years ago

11

Water erupting from geyser can reach a temperature of 244 F . The average temperature in Yellowstone National Park is 35F . Use

competition to calculate the difference between these temperature.

1 answer:

stiv31 [10]4 years ago

4 0

Difference means subtraction , 244 - 35 = 209
I forgot how to do this problem it was 63 years ago

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<u>Step(i)</u>:-

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by using complex numbers

$Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}$

$Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}$

<u><em>step(ii)</em></u>:-

now

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we will use formula

$Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})$

$Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )$

$Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))$

$Z_{1} Z_{2} = 3(0 + i (1)) = 3 i$

<u><em> Conclusion:</em></u>-

$Z_{1} Z_{2} = 3 i$

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