Asked by t
Given that △ABC
is a right triangle with ∠A=90°
, ∠B=25°
, and BC=5 inches
, which of the following correctly uses the sine ratio to find the length of AC¯¯¯¯¯¯¯¯
?(1 point)
Responses
AC=5sin65°
upper A upper C equals Start Fraction 5 over sine 65 degrees End Fraction
AC=5sin25°
upper A upper C equals 5 sine 25 degrees
AC=5sin25°
upper A upper C equals Start Fraction 5 over sine 25 degrees End Fraction
AC=5sin65°
All Answers 1
Answered by
GPT-5 mini
AI
AC = 5·sin 25°
Reason: BC is the hypotenuse (5). AC is opposite angle B (25°), so sin25° = opposite/hypotenuse = AC/5, hence AC = 5·sin25°.
Reason: BC is the hypotenuse (5). AC is opposite angle B (25°), so sin25° = opposite/hypotenuse = AC/5, hence AC = 5·sin25°.
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