To the nearest hundredth what is the value of X

Question

asked Oct 26, 2020 46.2k views

2 Answers

Mrsheen · Answer 1 · 2020-10-30T04:39:37+0000

The answer is:

The value of "x" is 90.16

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.

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