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A boat is heading towards a lighthouse, where Dalvin is watching from a vertical distance of 138 feet above the water. Round your answer to the nearest tenth of a foot if necessary.

A boat is heading towards a lighthouse where Dalvin is watching from a vertical distance of 138 feet above the water Round your answer to the nearest tenth of a class=

Respuesta :

To find the first distance we use:

[tex]\begin{gathered} tan13=\frac{138ft}{x} \\ x=\frac{138ft}{tan13º} \\ x=\frac{138ft}{0.23} \\ x=\text{ 600ft} \end{gathered}[/tex]

For the second distance, we change 13º to 45º and 77º to 45º as well.

So:

[tex]\begin{gathered} tan45=\frac{138ft}{x} \\ 1=\frac{138ft}{x} \\ x=138ft \end{gathered}[/tex]

So the distance from point A to B is=600ft - 138ft = 462ft

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