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A lighthouse rises 160 feet above sea level. The top of the lighthouse is sighted in at a 3 degree angle from a ship at sea. What is the distance between the ship and lighthouse?

Sagot :

we must use trigonometric ratios

we will use Tan

[tex]\tan \alpha=\frac{\text{opposite }}{\text{adjacent}}[/tex]

so replacing

[tex]\tan (3)=\frac{x}{160}[/tex]

and solve x

[tex]\begin{gathered} x=160\times\tan (3) \\ \\ x=8.39 \end{gathered}[/tex]

the dustance betweem the ship and lighthouse is 8.4ft

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