Question

Geometry math question no Guessing and Please show work

Answer 1

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$\tan(30) = \frac{n}{5 \sqrt{3} } \\ \\ \frac{1}{\sqrt{3}} = \frac{n}{5 \sqrt{3} } \\ \\ n = 5$

$<b>Option C. = 5 </b>$
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Answer 2

From the figure,
sin30°=n/m
or, 1/2=n/m
thus, n= m/2----1
And,
remaining angle= 90°-30°=60°
So,
sin60°=5√3/m
or, √3/2=5√3/m
or, 1/2=5/m
or,m=10
Thus, n= 10/2=5