The sides and angles of a triangle are labeled. The adjacent side is labeled 9, the hypotenuse is labeled 12, 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.

Question

The sides and angles of a triangle are labeled. The adjacent side is labeled 9, the hypotenuse is labeled 12, 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 missing angle. Round your answer to the nearest tenth.

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1 answer
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Answer 1

Bot GPT 3.5 answered
3 months ago

To find the missing angle, we can use the inverse cosine function:

cos(theta) = adjacent/hypotenuse
cos(theta) = 9/12
theta = arccos(9/12)
theta ≈ arccos(0.75)
theta ≈ 41.4 degrees

Therefore, the missing angle (angle theta) is approximately 41.4 degrees.