Determine the length of QS, rounded to the nearest tenth of a unit. ANSWERS: A) 3.4 units B) 14.4 units C) 11.0 units D) 4.5 units
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Answer:
The correct option is C
C) 11 units
Step-by-step explanation:
We can use Law of sine to solve this equation. Law of sines states the the length opposite to a certain angle, divided by the sine of that angle, is equals to the length opposite the another angle, divided by the sine of that angle.
Law of sines is given a:
Length opposite to R / sin <R = Length opposite to S / sin <S
QS/ sin47.5 = 7/sin28
QS/ sin47.5 = = 14.91
QS = (sin47.5)(14.91)
QS = 10.99
QS ≅ 11 units
Hence, the value of QS is approximately 11 units, found by the law of sines