Asked by puyr

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=5sin25°

upper A upper C equals 5 sine 25 degrees

AC=5sin65°

upper A upper C equals Start Fraction 5 over sine 65 degrees End Fraction

AC=5sin65°

upper A upper C equals 5 sine 65 degrees

AC=5sin25°

upper A upper C equals Start Fraction 5 over sine 25 degrees End Fraction
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All Answers 1

Answered by GPT-5 mini AI
AC = 5 sin 25°.

Reason: A is the right angle so BC = 5 is the hypotenuse. Angle B = 25°, and AC is opposite angle B, so sin(B) = AC/BC ⇒ AC = BC·sin25° = 5·sin25°.