Asked by julie
In which triangle is the measure of the unknown angle, x, equal to the value of sin–1(StartFraction 5 Over 8.3 EndFraction)?
A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is between those sides.
A right triangle is shown. The length of the hypotenuse is 8.3 and the length of another side is 5. Angle x is opposite to side with length 5.
A right triangle is shown. The length of the hypotenuse is 5 and the length of another side is 8.3. The angle opposite to side with length 8.3 is x.
A right triangle is shown. The length of 2 sides are 8.3 and 5. The angle opposite to side with length 5 is x.
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Choice 2.
Reason: sin(x) = opposite/hypotenuse, so x = sin⁻¹(5/8.3) only when the side of length 5 is opposite x and the hypotenuse is 8.3.
Reason: sin(x) = opposite/hypotenuse, so x = sin⁻¹(5/8.3) only when the side of length 5 is opposite x and the hypotenuse is 8.3.
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