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Answer:h=11.2
Step-by-step explanation:
From the figure, we can write
[tex]\Rightarrow \sin x=\dfrac{8}{10}=\dfrac{4}{5}\\\\\Rightarrow x=53.13^{\circ}[/tex]
Also, [tex]\sin x[/tex] can be written as
[tex]\Rightarrow \sin x=\dfrac{h}{14}\\\\\Rightarrow \dfrac{4}{5}=\dfrac{h}{14}\\\\\Rightarrow h=11.2\ \text{units}[/tex]