Answer:
bearing ≈ 215°
Step-by-step explanation:
the bearing of the lighthouse from the boat is the angle from the north line at the boat measured clockwise to the lighthouse.
calculate the angle inside the triangle at the boat
using the cosine ratio in the right triangle
cos B = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{14.5}{25.2}[/tex] , then
∠ B = [tex]cos^{-1}[/tex] ( [tex]\frac{14.5}{25.2}[/tex] ) ≈ 55° ( to the nearest degree )
the angle between North and West in clockwise direction = 270° , then
bearing = 270° - 55° = 215°
