Question

Triangle G E F is shown. Angle G E F is a right angle. The length of hypotenuse F G is 14.5 and the length of F E is 11.9. Angle B F E is theta. Which equation can be used to find the measure of angle GFE? cos−1(StartFraction 14.5 Over 11.9 EndFraction) = θ cos−1(StartFraction 11.9 Over 14.5 EndFraction) = θ sin−1(StartFraction 11.9 Over 14.5 EndFraction) = θ sin−1(StartFraction 14.5 Over 11.9 EndFraction) = θ

Answer 1

cos-1(11.9/14.5)

Explanation:

Answer 2

B. cos−1(StartFraction 11.9 Over 14.5 EndFraction) = θ

Explanation:

From definition:

cos(θ) = adjacent/hypotenuse

The adjacent side respect angle GFE (or θ) is side FE, and side FG is the hypotenuse. Replacing with data and isolating θ:

cos(θ) = 11.9/14.5

θ = cos^-1(11.9/14.5)