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.
To find the missing angle, we can use the inverse cosine function.
cos(theta) = adjacent / hypotenuse
cos(theta) = 27 / 50
Now we can use the inverse cosine function to find theta:
theta = cos^(-1)(27/50)
theta ≈ 54.2 degrees
Therefore, the missing angle, theta, is approximately 54.2 degrees.