3
lesson pretestMultiple Choice

Pretest

Question 3 • Mathematics III

Law of sines: sine of cap A over A is equal to sine of cap b over b is equal to sine of cap c over c In triangle FGH , h is equal to 10 , m angle cap f is equal to 65 degrees , and m angle cap g is equal to 35 degrees What is the length of g ? Use the law of sines to find the answer.

Answer
A
9 point 8 units
B
9 point 2 units
C
6 point 7 units
D
5 point 8 units

Explanation

The third angle is ∠H = 180° − 65° − 35° = 80°. By the law of sines, g/sin 35° = 10/sin 80°, so g = 10(sin 35°)/(sin 80°) ≈ 5.8 units. The correct choice is 5.8 units.

AI-written and checked against the verified answer.

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