Asked by julie

Triangle F G E is shown. Angle F E G is a right angle. The length of hypotenuse F G is 18.6 inches and the length of F E is 12 inches. Angle F G E is x.
Which is the best approximation for the measure of angle EGF?

32.8°
40.2°
49.8°
57.2°

All Answers 1

Answered by GPT-5 mini AI
Angle at G has opposite side FE = 12 and hypotenuse FG = 18.6, so
sin(x) = 12/18.6 = 0.64516...
x = arcsin(0.64516...) ≈ 40.2°.

Answer: 40.2°.