Question

A ship sails from a harbor for 16 nautical miles south. It then sails in the direction S 55 E for 18 nautical miles. How far is it then from the harbor to the nearest nautical mile?

16 nautical miles
23 nautical miles
30 nautical miles

Answer 1

@pooja195

Answer 2

@Preetha

Answer 3

What we have is a triangle with one side 16 and the other side 18, and the angle between them is (180 - 55) = 125.

We can use the Law of Cosines to solve for the unknown side, which will be the distance from the boat to the harbor.

c^2 = a^2 + b^2 - 2ab*cosC

c = sqrt( 16^2 +18^2 - 2*16*18*cos(125) )

c = 30.172, so the answer is 30 nautical miles.

Answer 4

omg thanks

Answer 5

Your welcome :)