Okay I have a trigonometry problem but I cant seem to get it. I have a scalene triangle. It's made up from points E,P and B. Angle EPB is 71 degrees. Angle PBE is 82 degrees. What is the distance of PE is the first question. For the second question it says what is the difference of E to the shore. I know that might sound strange, but point E represents a battle ship, and points P and B represent two lighthouses. So the question again is what's the difference from E to the shoreline. I dotn really understand what the shoreline is. Can somebody help me solve this problem please? thanks
2007-05-17 10:35:50 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
CORRECTION: There is also a distance given. The distance from P to B is 150 miles
2007-05-17 10:47:31 · update #1
You need one of the distances otherwise they could be anything (in a certain proportion)!
2007-05-17 10:40:22 · answer #1 · answered by Matt 2 · 0⤊ 0⤋
I'll leave the solution to you. The 2 lighthouses are assumed to be on the shore, and the shore between them is a straight line.
2007-05-17 17:40:46 · answer #2 · answered by cattbarf 7 · 0⤊ 0⤋
Is this all the info you were given? Without a length of one side of this triangle, the answers will have to abstract.
2007-05-17 17:43:08 · answer #3 · answered by TKA 2 · 0⤊ 0⤋
Interior angle at E = 27º = 180º - (71º + 82º).
Law of Sines
(Sine27º)/(150mile) =
(Sine71º)/(miles from E to B) =
(Sine82º)/(miles from E to P).
The distance from E to B would be {150mile[(sine 71º)/(sine 27º)]}
The distance from E to P would be {150mile[(sine 82º)/(sine 27º)]}.
2007-05-17 18:09:34 · answer #4 · answered by Mark 6 · 0⤊ 0⤋