As shown in the diagram, a ship sails 16 nautical miles east from a harbor. it then sails 18 nautical miles in the direction of n 55° e. how far is it from the harbor to the nearest nautical mile?

a) 11 nautical miles
b) 24 nautical miles
c) 32 nautical miles
d) 36 nautical miles

The angle between the legs of length 16 and 18 has measure 90 + 55 = 145 degrees.

Now use the law of cosines: it says satisfies

and solving for gives

so the answer is C.

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.