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Find the length of the side x in simplest radical form with a rational denominator

Find The Length Of The Side X In Simplest Radical Form With A Rational Denominator class=

Sagot :

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Answer:

10√3/3

Step-by-step explanation:

To get x we will use the SOH CAAH TOA trigonometry identity

Given

Angle = 60 degrees

Hypotenuse = x

Opposite = 5

Sin theta = opposite/hypotenuse

Sin 60 = 5/x

x = 5/sin 60

x = 5/(√3/2)

x = 5 * 2/√3

x = 10/√3

Rationalize

x = 10/√3 * √3/√3

x = 10√3/3

hence the length of the side x in simplest radical form is 10√3/3

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