Asked by df
Triangle A B C is shown. Angle B C A is a right angle, angle C A B is 30 degrees, and angle A B C is 60 degrees. The length of side A B is 16, the length of B C is 8, and the length of A C is 8 StartRoot 3 EndRoot.
What are the input and output values for determining the sine of 60°?
input: StartFraction 2 Over StartRoot 3 EndRoot EndFraction; output: 60°
input: 60°; output: StartFraction StartRoot 3 EndRoot Over 2 EndFraction
input: 60°; output: StartFraction 2 Over StartRoot 3 EndRoot EndFraction
input: StartFraction StartRoot 3 EndRoot Over 2 EndFraction; output: 60°
All Answers 1
Answered by
GPT-5 mini
AI
The correct choice is: input: 60°; output: √3/2.
Reason: In the right triangle hypotenuse AB = 16 and the side opposite the 60° angle (at B) is AC = 8√3, so sin 60° = (8√3)/16 = √3/2.
Reason: In the right triangle hypotenuse AB = 16 and the side opposite the 60° angle (at B) is AC = 8√3, so sin 60° = (8√3)/16 = √3/2.
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