Question

Find the missing length. Write answer as a simplified radical

Answer 1

`\cos 30^(\circ)=(6√(3))/(x)\\\\(√(3))/(2)=(6√(3))/(x)\\\\(1)/(2)=(6)/(x)\\\\\boxed{x=12}`

The shared side has length
`6` by the Pythagorean theorem. Thus,

`y=√(10^2 -6^2) \implies \boxed{y=8}`