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°

Question

Mathematics

Leticia

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)

Know the Answer?

Ashlyn Huynh · Answer 1

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.

Reginald Thornton · Answer 2

44.4

Step-by-step explanation:

right on edge