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Math Help - find the angle OEB

  1. #1
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    find the angle OEB

    DEB is a chord of a circle such that DE=3 and EB=5. Let O be the center of the circle. Join OE and extend OE to cut the circle at C. If CE=1 then what is tan(OEB)?
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  2. #2
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    Re: find the angle OEB

    Use the intersecting chords theorem to calculate the radius of the circle.
    (Extend CO to meet the circle again at A, then AE.EC = BE.ED .)
    That gets you the dimensions of the triangle BOE and you can then use the cosine rule to calculate the angles.
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  3. #3
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    Re: find the angle OEB

    find the angle OEB-chord-final-.png
    Thanks from sktexypnos
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  4. #4
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    Thumbs up Re: find the angle OEB

    thank you both of you!!
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