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28 January, 11:54

In DEF, given the lengths of the sides, find the measure of the stated angle to the nearest degree.

d = 10.7, e = 15.5, f = 16.2;

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Answers (2)
  1. 28 January, 11:57
    0
    E=15.5 is going to be right
  2. 28 January, 12:12
    0
    Using the Law of Cosines

    cos (D) = (e² + f² - d²) : (2ef)

    cos (D) = (240.25 + 262.44 - 114.19) / (2*15.5*16.2)

    cos (D) = 388.50 / 502.20

    cos (D) = 0.7735961768

    D = 39.322 degrees

    For the next angle we can use the Law of Sines

    sin ∠E = (e • sin (D)) : d

    sin ∠E = (15.5 * 0.63368) / 10.7

    sin ∠E = 0.9179476636

    E = 66.628 Degrees

    Angle F = 180 - 39.322 - 66.628 = 74.05 degrees
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