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A bird flies from its nest 6 km in the direction 20degrees north of​ east, where it stops to rest on a tree. It then flies 9 km in the direction 19degrees south of west and lands atop a telephone pole. With an ​xy-coordinate system where the origin is the​ bird's nest, the ​x-axis points​ east, and the ​y-axis points​ north, at what point is the tree​ located?

Respuesta :

prozehus

Answer:

T=(2.05;5.81)

Step-by-step explanation:

we have the triangle (view graph 2) ABC where AB=6 km, we must find BC, CA

[tex]\alpha =90-20=70\\sin70 =\frac{BC}{6km}\\BC=6km*sin70=6km*0.9396=5.81km[/tex]

[tex]cos70=\frac{AC}{6km}\\ AC=6km*cos70=6km*0.3420=2.05km[/tex]

finally,

the coordinates of the tree are T = (2.05; 5.81)

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