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

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

since the airplane is moving with constant speed then the distance travelled can be calculated by x=u*t

in km/h would be:

x=640*3.5=2.240 km

in m/s would be:

u=640 km/h= 640.000 m/h =640.000/ 3600 m/s =177.8 m/s

t= 3.5 h= 3.5 * 3600 s=12.600 s

then x=u*t= 177.8*12.600= 2.240.280 m