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Math Help - Not right angled triangle! help?!

  1. #1
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    Not right angled triangle! help?!

    I have the answers, just don't know how to some it myself

    http://i.imgur.com/rv9h7HB.jpg
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  2. #2
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    Re: Not right angled triangle! help?!

    I will use OB as the dotted line segment between O and B in your diagram. Since d_1,d_2 are distances, where those dotted lines meet OB, they form right angles. So, you can use trigonometry for those smaller triangles. |AB| = d_1\sin \phi and |BC| = d_2\cos \theta. Then the angle ABC is just \phi + (90^\circ - \theta).
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