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Math Help - Triangle Solution word problem

  1. #1
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    Triangle Solution word problem

    Hi,


    I'm hoping someone can help me figure out this question.

    All i can basically get so far is Distance = speed * time, 16*0.25 = 4km

    This gives a 4km length for the distance tarvelled but i have no idea how to find any other lengths. Especially Part B

    Thanks in advance



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  2. #2
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    Re: Triangle Solution word problem

    You have the distance between the ships as 4km. It's also relatively easy to see that the angles in the triangle are \displaystyle \begin{align*} 20^{\circ}, 153^{\circ}, 7^{\circ} \end{align*}. This is enough information to use the Sine Rule to evaluate the length from where the ship started to the lighthouse.

    Once you have that length, it becomes the hypotenuse of a right angle triangle with d as the vertical length and an adjacent angle of \displaystyle \begin{align*} 70^{\circ} \end{align*}. You should be able to evaluate that distance.
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  3. #3
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    Re: Triangle Solution word problem

    okay tha t makes sense. Just clarify how did you determine that the angles in the triangle are 153 and 7?? I get the 90-70=20 but the 7degrees i'm not so sure of
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  4. #4
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    Re: Triangle Solution word problem

    Quote Originally Posted by GAVREED2 View Post
    okay tha t makes sense. Just clarify how did you determine that the angles in the triangle are 153 and 7?? I get the 90-70=20 but the 7degrees i'm not so sure of
    The obtuse angle is 90 + 63, and the remaining angle you find from the fact that the three angles in a triangle add to 180.
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