Asked by bobbert

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=5sin65°

upper A upper C equals 5 sine 65 degrees

AC=5sin25°

upper A upper C equals 5 sine 25 degrees

AC=5sin25°

All Answers 1

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

Explanation: With ∠A = 90° the hypotenuse is BC = 5. For ∠B (25°), AC is the side opposite, so sin(25°) = opposite/hypotenuse = AC/5 ⇒ AC = 5·sin25°.