Find the missing length. Write answer as a simplified radical

asked Feb 2, 2023 227k views

4 votes

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4 votes

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

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

$y=√(10^2 -6^2) \implies \boxed{y=8}$

Roger answered Feb 7, 2023

by Roger

8.4k points

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