Question

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?

Answer 1

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