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Answer :

[tex]\\ \rm\hookrightarrow tanx=P/B[/tex]

[tex]\\ \rm\hookrightarrow tanx=105/161[/tex]

[tex]\\ \rm\hookrightarrow tanx=0.62[/tex]

[tex]\\ \rm\hookrightarrow x=tan^{-1}(0.62)[/tex]

[tex]\\ \rm\hookrightarrow x=32.6[/tex]

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Question: A plant is 103 mi north and 161 east of an airport. Find x, the angle the pilot should turn in order to fly directly to airport.

Solution:

using tan rule:

[tex]\hookrightarrow \sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

[tex]\hookrightarrow \sf tan(x) = \dfrac{103}{161}[/tex]

[tex]\hookrightarrow \sf x = tan^{-1}(\dfrac{103}{161} )[/tex]

[tex]\hookrightarrow \sf x = 32.6[/tex]

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