Answer to Question #279948 in Electric Circuits for Dagi

Question #279948

A plane flies from base camp to lake A, a distance of 280 km at a direction of 20 degrees north of east. After dropping off supplies, the plane flies to lake B, which is 190km and 30 degree west of north from lake A.





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Expert's answer
2021-12-16T17:46:09-0500







Analyzing the diagram

Let x=x= the distance between Base Camp and Lake B


Angle β°=180(70+30)\beta°=180-(70+30)

=80°=80°


Using cosine rule

x2=1902+28022×190×180Cos80x^2=190^2+280^2-2×190×180\>Cos\>80

x=309.88kmx=309.88km



Using Sine Rule

309.88Sin80=280Sin(θ+30)\frac{309.88}{Sin80}=\frac{280}{Sin({\theta}+30)}


Sin (θ+30)=0.8898(\theta+30)=0.8898

θ=32.85\theta=32.85


To return to Base the plan flies 309.88km309.88km at a direction of 32.85°32.85° west of south from Lake B


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