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How do you solve #Sin45 = 12/x #?

Answer 1

Daniel Acosta

#12*sqrt(2)#

#sin 45=1/sqrt(2)# #1/sqrt(2)=12/x# #x=12*sqrt(2)#

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Answer 2

Josiah Anderson

To solve the equation ( \sin(45^\circ) = \frac{12}{x} ), we first find the value of ( \sin(45^\circ) ), which is ( \frac{\sqrt{2}}{2} ). Then we set up the equation:

[ \frac{\sqrt{2}}{2} = \frac{12}{x} ]

Next, we cross multiply:

[ \sqrt{2} \cdot x = 2 \cdot 12 ]

[ \sqrt{2} \cdot x = 24 ]

To isolate ( x ), we divide both sides by ( \sqrt{2} ):

[ x = \frac{24}{\sqrt{2}} ]

Rationalizing the denominator:

[ x = \frac{24\sqrt{2}}{2} ]

[ x = 12\sqrt{2} ]

So, ( x = 12\sqrt{2} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.