In a flooded area, Cora is stranded at a point 70° west of north with respect to the central base of rescue operations. The nearest rescue boat is docked 40° east of north with respect to the central base. If the boat is 100 m away from the central base and Cora’s location is 75° west of north with respect to the boat, then how far away is the boat from where Cora is?

1 answer

Draw a diagram. If we let
X = central base
B = boat
C = Cora
then we know in triangle XBC that angle
X = 110°
B = 65°
C = 5°
use the law of sines to answer the question.