Step-by-step explanation:
DEFINITION: Besting: the clockwise totation (0° to 360°) from North to any line.
A) Calculate the bearings of D from A:
bearings of D from A =x
looking the picture:
x=48°+55°+180°
x+103°+180°
x=283°
B)Calculate the bearings of A from C:
bearings of A from C =y
180°+55°=y
y=235°
C) Calculate the distance between A and B:
The angle in B is 74° (Because 55°+51°+74°=180°)
Using the Law of sines:
[tex]\frac{19}{sin(74)} =\frac{AB}{sin(51)} \\\\AB=19sin(51)sin(74)\\AB=14,2\\\\[/tex]
D)Calculate the distance between D and C:
Using the Law of cossines:
[tex]DC^{2} =27^{2} +19^{2} -2*27*19*cos(48)\\DC=20,09[/tex]
E) A Helicopter is hovering at A at a height of 2.5Km, find angle of elevation of helicopter from C:
The triangle HBA is rectangle
[tex]\alpha =arctan(\frac{2,5}{19})[/tex]
α=7,49°
