Question

50 POINTS AND BRAINLYLIST

Answer 1

$\\ \rm\hookrightarrow tanx=P/B$

$\\ \rm\hookrightarrow tanx=105/161$

$\\ \rm\hookrightarrow tanx=0.62$

$\\ \rm\hookrightarrow x=tan^{-1}(0.62)$

$\\ \rm\hookrightarrow x=32.6$

Answer 2

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:

$\hookrightarrow \sf tan(x) = \dfrac{opposite}{adjacent}$

$\hookrightarrow \sf tan(x) = \dfrac{103}{161}$

$\hookrightarrow \sf x = tan^{-1}(\dfrac{103}{161} )$

$\hookrightarrow \sf x = 32.6$