A jet leaves a runway whose bearing is N 3232degrees°E from the control tower. After flying 77 ​miles, the jet turns 90degrees° and flies on a bearing of S 5858degrees°E for 88 miles. At that​ time, what is the bearing of the jet from the control​ tower?

Respuesta :

Answer:

[tex]N(80.8^{\circ})E[/tex]

Explanation:

Bearing from control tower= [tex]N(32^{\circ}+\theta})E[/tex]

But [tex]tan \theta=\frac {opposite}{adjacent}[/tex]

[tex]tan \theta=\frac {88}{77}[/tex]

[tex]\theta=tan^{-1}(\frac {88}{77})=tan^{-1}(1.142857143)=48.81407483^{\circ}\approx 48.8^{\circ}[/tex]

Therefore, the bearing from control tower=[tex]N(32^{\circ}+48.8^{\circ}})E[/tex]

Bearing=[tex]N(80.8^{\circ})E[/tex]

The direction is North East