need help with trigonometry questions?

1. Given the information below, solve the triangle. If the information results in more than one triangle,

solve each triangle that results.

a = 86, B = 58°; A = 84° ; find b, C, and c

2.Given the information below, solve the triangle. If the information results in more than one triangle,

solve each triangle that results.

c = 25, b=24 ; find a, A, and B

3 Answers

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  • ?
    Lv 6
    6 months ago

    1. a = 86, A = 84 deg, B = 58 deg. Find b, C and C.;

    By law of sines, a/sinA = b/sinB = c/sinC;

    b = (sinB/sinA)a = (sin58/sin84)(86) = (0.8480480962/0.9945218954)(86) =;

    73.33386687.;

    C = 180 - (A+B) = 180 - (84+58) = 180-142 = 38 deg;

    c = (sinC/sinA)a = (0.6156614753/0.9945218954)(86) = 0.6190527108(86);

    = 53.23853313.;

    2. c = 25, b = 24. Find a, A and B.;

    c^2 - b^2 = 25^2 - 24^2 = (25-24)(25+24) = 49 = 7^2 = a^2. Then a = 7.;

    A = arctan(7/24) = arctan(0.2916666667) = 16.26020471 deg.;

    c, the hypotenuse, is opposite right angle C = 90 deg;

    Then B = (90-A) deg = (90-16.26020471) deg = 73.73979529 deg.;

  • Anonymous
    1 year ago

    Not a question. 2 points for me, thanks!

  • ?
    Lv 7
    2 years ago

    1.

    Given the information below, solve the triangle.

    If the information results in more than one triangle,

    solve each triangle that results.

    a = 86, B = 58°; A = 84° ; find b, C, and c

    b: 73.33

    c: 53.24

    C: 38.00°

    2.

    Given the information below, solve the triangle.

    If the information results in more than one triangle,

    solve each triangle that results.

    c = 25, b = 24 ; find a, A, and B

    Enter three values and calculate.

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