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11 October, 08:59

Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction

What is the approximate measure of angle F? Use the law of sines to find the answer.

11.5°

44.4°

68.0°

81.9°

+3
Answers (2)
  1. 11 October, 10:00
    0
    Using the sine rule:

    40/sin (90) = 28/sin (x)

    These are two fractions that are equal so we can cross multiply to get:

    40 x sin (x) = 28 x sin (90)

    Rearranging:

    sin (x) = (28 x sin (90)) / 40

    Take inverse sine to find x (the angle)

    x = sin^-1 (28 x sin (90)) / 40)

    X = 44.4° to 1dp

    Lmk if anything's unclear.
  2. 11 October, 11:20
    0
    44.4

    Step-by-step explanation:

    right on edge
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