The length of side X in the simplest radical form is 10/√3
The triangle is right angled, therefore we can apply trigonometry :
To obtain the value of X which is the hypotenus :
Using SOHCAHTOA:
Cosθ = adjacent / hypotenus
Cos 30 = 5 / X
√3/2 = 5 / X
√3 / 2 × X = 5
X = 5 ÷ √3 / 2
X = 5 × 2 / √3
X = 10/√3
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