# Solving word problems involving triangles/bearings

The sonar of a submarine detects a navy battleship that is $4000$ ft above the depth of an angle of elevation of $36$ degrees. The submarine's sonar also detects a giant squid resting on the surface directly in the path of the navy battleship at an angle of elevation of $48$ degrees. How far is the battleship from the giant squid?

For my answer I got $1,119.09$ ft but I am not positive if I am right or not. I used Law of Sines to find this answer. Can anyone tell me if I am correct or if incorrect, what the right answer is and how you got it. If I am wrong I may have drawn my diagram wrong and that could be the cause of my wrong answer. Help is appreciated

Yes you are correct. By using the data given, you can find out the distance between the two objects by making two right triangles with $48$ and $36$ degrees with a height of $4000$ ft. Then you use the law of sine to find the missing lengths to give you the answer of $1119.09$ ft. Thus, that concludes your answer.