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