The sides and angles of a triangle are labeled. The adjacent side is labeled 27, the hypotenuse is labeled 50, and the angle where the adjacent side and the hypotenuse meet is labeled with the theta symbol. The right angle is marked with a small box.
Use the inverse of cosine to find the indicated missing angle. Round your answer to the nearest tenth.
(1 point)
θ≈
1
°
Incorrect
1Cosine is the ratio of an adjacent leg to the hypotenuse. The inverse of cosine results in an angle measure formed between the adjacent leg and the hypotenuse.
To find the missing angle θ, we can use the cosine ratio, which is adjacent/hypotenuse.
cos(θ) = adjacent/hypotenuse
cos(θ) = 27/50
To find θ, we take the inverse cosine of the ratio:
θ = cos^(-1)(27/50)
θ ≈ 54.7°
Therefore, the missing angle θ is approximately 54.7 degrees.