Answer:
a) 3.77 miles
b) 2 miles
Step-by-step explanation:
Law of Sines:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}[/tex]
a) The distance of the plane from point A
The angle of depression corresponds to the congruent angle of elevation therefore, 180-28-52 = 100°
[tex]\frac{5}{sin(100)} =\frac{b}{sin(48)}[/tex]
[tex]b=\frac{5sin(48)}{sin(100)}[/tex]
[tex]b≅3.77[/tex] miles
b) Elevation of the plane
[tex]sin=\frac{opposite}{hypotenuse}[/tex]
hypotenuse is 3.77 and opposite is the elevation(h) to be found
[tex]sin(32)=\frac{h}{3.77}[/tex]
[tex]h=sin(32) 3.77[/tex]
[tex]h≅2[/tex]
