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Answer :
Answer:
37,15m
Step-by-step explanation:
the distance between top of the cliff to the ground at shore level
and the distance between the top of the clif to the stream shore
defines a triangle rectangle.
Where: [tex]Tan(\alpha )=\frac{opossite side}{adjacent side}=\frac{x}{y} \\[/tex]
x= distance from shore to bottom of the cliff
y= distance from top of the cliff to the bottom of the cliff
[tex]y*tan(\alpha)=x\\[/tex]
α1= 90°-48,5°= 41,5°
α2=90°-37,9°= 52,1°
x1= distance between near shore to the bottom of the cliff
x2= distance between far shore to the bottom of the cliff
[tex]x1=y*tan(\alpha1)=92,9m*tan(41,5°) \\[/tex]
[tex]x2=92,9m*tan(52,1°)[/tex]
[tex]x2-x1=y*tan(\alpha2)-y*tan(\alpha1)[/tex]
[tex]x2-x1=119,34°-82,19°[/tex]
distance= 37,15°
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