captain jack sparrow is anchored at isles de los nombres 40 miles north of tortuga when he spies billowing smoke in the distance, at bearing of n60 degrees west. he sets sail in that direction and 20 miles later, finds the charred remains of a fishing vessel. as he mutters "scurvy pirates" to himself, he wonders how long it will take him to get back to Tortuga sketch the positions of tortuga, isle de los nombre and the burnt fishing vessel in a correctly labeled diagram. calculate how far the fishing vessel from tortuga.
I can't post a digram here, but I can give you a hint where to start to find the distance from the fried fish to Tortuga.....use the cosine law (have you used this law before?)
Two sides of the triangle will be the distances given in the problem 40 nm (nautical miles) and 20 nm and the angle will be.........Do you know? the information given will allow you to determine it....re-post if you need more help.
+130536 Here's a pic of the situation......
A = Tortuga
B = Captain Jack's initial position
C = fishing vessel
The distance from the wreck to Tortuga = about 52.91 miles
BTW....this could be solved with the Law of Cosines, thusly....
AC = sqrt [ 20^2 + 40^2 - 2(20)(40)cos(120) ]
I just thought that the pic kinda' brought it all home a little better....!!!
