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To the nearest hundredth what is the value of X

To the nearest hundredth what is the value of X-example-1

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Due To My Calculations, The Answer Is 90.16.

User Dzejms
by
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4 votes

Hello!

The answer is:

The value of "x" is 90.16

Why?

To solve the problem we need to use the trigonometric identity of the sine that establish that:


Sin(\alpha )=(OppositeSide)/(Hypotenuse)

So, we are given the following information:


\alpha =48(degrees)\\\\OppositeSide=67

Then, applying the trigonometric identity, we have:


Sin(48)=(67)/(Hypotenuse)


Sin(48)=(67)/(Hypotenuse)\\\\Hypotenuse=(67)/(sin(48))=90.157=90.16

Hence, the value of "x" is (rounded to the nearest hundreth) 90.16.

Have a nice day!

User Mrsheen
by
8.2k points

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