[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \tt{sin(\Theta) = \cfrac{3}{8}} [/tex]
[tex]\qquad \tt \rightarrow \: x = 6\:\: cm[/tex]
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[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \sin( Theta) = \cfrac{Opposite \:\: side}{Hypotenuse}[/tex]
[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} [/tex]
since the Triangles are similar, ratio of their corresponding sides are equal :
[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} = \dfrac{x}{16} [/tex]
[tex]\qquad \tt \rightarrow \:x = 16 \sdot \cfrac{3}{8}[/tex]
[tex]\qquad \tt \rightarrow \: x = 2 \sdot3[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \: \: cm[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
