A lobster boat is situated due west of the a lighthouse. A barge is 12km south of the lobster boat. From a barge, the bearing to the lighthouse is N63 degrees 20 minutes E. how far is the lobster from the lighthouse?

A lobster boat is situated due west of the a lighthouse. A barge is 12km south of the lobster boat. From a barge, the bearing to the lighthouse is N63 degrees 20 minutes E. how far is the lobster from the lighthouse?

Let's call the distance from the lighthouse to the lobster boat x. Meanwhile, the distance from the lobster boat to the barge is 12km. Note that the three objects form a right triangle with the barge-lighthouse line being the hypotenuse. We know the angle at the barge is 63.3333 degrees. So we can simply use tangent equals opposite over adjacent to find the length of the opposite side, x.

tan 63.3333 = x/12

Solve for x, and you're done.

Thanks can I have a illustration?

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We don't do homework, particularly 3 questions within minutes.

Post your solution and see if anyone corrects you.

You are aware that AMHD doesn't do homework, right?

I notice you don't appear to be doing ANY of your homework - 5 questions today?

I could draw you an illustration, but it's so trivial there's no need for somebody else to do it for you. Draw a dot on a piece of paper and label it "lighthouse". Then, some distance to the left (to represent west), draw another dot and label it "lobster boat". Draw a line connecting the dots, and label it "x". Now draw a third dot directly below the lobster boat (to represent south), and label it "barge". Connect the lobster boat and barge with a line and label it "12 km". Finally, draw a line connecting the barge to the lighthouse, thus completing a right triangle. Label the angle between this line and the 12 km line "63 deg 20 min". There. Now you have an illustration.

http://www.p1cture.it/images/6g365b83g073d72cb581.png

Now, can you post your attempt at the other questions please?

EDIT: Threads merged
EDIT2: Didn't see you posted Josh :o

EDIT2: Didn't see you posted Josh :o

No problem. Assuming the OP even reads my post, your diagram should drive home the point of how pathetic it is to ask somebody else to draw that picture. ;)