Asked by hello

Given that △ABC
△
𝐴
𝐵
𝐶
is a right triangle with ∠A=90°
∠
𝐴
=
90
°
, ∠B=25°
∠
𝐵
=
25
°
, and BC=5 inches
𝐵
𝐶
=
5

inches
, which of the following correctly uses the sine ratio to find the length of AC¯¯¯¯¯¯¯¯
𝐴
𝐶
¯
?(1 point)
Responses

AC=5sin65°
𝐴
𝐶
=
5
sin
⁡
65
°

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

AC=5sin65°
𝐴
𝐶
=
5
sin
⁡
65
°

upper A upper C equals 5 sine 65 degrees

AC=5sin25°
𝐴
𝐶
=
5
sin
⁡
25
°

upper A upper C equals 5 sine 25 degrees

AC=5sin25°

All Answers 1

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

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