Two radar station 18.5 miles apart are tracking a plane. The angle of elevation from station A is 48 and the angle of elevation from station B is 74. How far is the plane from station B?

Respuesta :

see the attached figure to better understand the problem

we know that

in the triangle ABC
angle C=180-(48+74)------> angle C=58° 
applying the law of sines
BC/sin 48=18.5/sin 58°------> BC=18.5*sin 48/sin 58-----> BC=16.21 miles

the answer is
16.21 miles
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