Question

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

Answer 1

The correct answer is C) 11.0 units.

Answer 2

The correct option is C

C) 11 units

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