I need help in this trigonometry problem?

Can someone help me in this problem? I dont get the problem pls explain it really well. Thanks in advance :3

r and m are equal

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1 Answer

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  • Glipp
    Lv 7
    8 years ago
    Favorite Answer

    tan m = 10/x

    tan (m + r) = (tan m + tan r)/(1 - tan m tan r) = 25/x

    if m = r,

    2 tan m / (1 - tan^2 m) = 25/x

    => 20/x / (1 - 100/x^2) = 25/x

    => 20/x = 25/x (1 - (10/x)^2)

    => 20 = 25 (1 - (10/x)^2)

    => 5 = 25(10/x)^2

    => 10/x = 1/√5

    => x = 10√5

    now tan m = 10/x = 1/√5

    => m = r = 24.09º

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