Respuesta :

dock = 90°

boat = 40°

Thus the other angle equal 50°

I call that angle JJ

So ; JJ = 50°

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According to the case of the Sine :

[tex] \frac{rope}{ \sin(50) } = \frac{25.17}{ \sin(40) } \\ [/tex]

[tex] \frac{rope}{ \cos(40) } = \frac{25.17}{0.643} \\ [/tex]

[tex] \frac{rope}{0.766} = \frac{25.17}{0.643} \\ [/tex]

[tex]rope = 0.766 \times \frac{25.17}{0.643} [/tex]

[tex]rope = 0.766 \times 39.14[/tex]

[tex]rope = 30.37[/tex]

[tex]rope = 30[/tex]

And we're done...

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