64
QuizMultiple Choice

N/A — Exam

Question 64 • Geometry

The hypotenuse of right triangle ABC , line segment AC , measures 13 cm. The length of line segment BC is 5 cm. What is the approximate difference between m angle cap c and m angle cap A ?

Answer
A
47.9 degrees
B
46.3 degrees
C
44.8 degrees
D
34.8 degrees

Explanation

Since AC is the hypotenuse, the right angle is at B, so angles A and C add to 90°. For angle A, sin A = BC/AC = 5/13, giving m∠A ≈ 22.6°. Thus m∠C ≈ 67.4°, and their difference is about 67.4° − 22.6° = 44.8°, which is choice C, 44.8 degrees.

AI-written and checked against the verified answer.

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