Select the correct answer.

Consider triangle EFG.

A right triangle EFG with base EG of 10, Opposite EF of 8, and Hypotenuse FG of 12

What is the approximate measure of angle G?
A. 41.4
B. 55.8
C. 94.8
D. 82.8
degrees.

1 answer

The correct answer is B. 55.8 degrees.

To find the measure of angle G, you can use the inverse sine function (sin^-1) which is the ratio of the opposite side (EF) to the hypotenuse (FG).

sin(G) = opposite/hypotenuse
sin(G) = 8/12
G = sin^-1(8/12)
G = sin^-1(0.66667)
G ≈ 41.4 degrees

The angle G is approximately 41.4 degrees, which is the correct answer from the options provided.