Question

In ΔPQR, mP = 33, mQ = 82, and PR = 14.2. To the nearest tenth,
what is the length of QR ?

Answer 1

13.5

Explanation:

just did it

Answer 2

7.8 units

Explanation:

Given: In ΔPQR, m∠P = 33, m∠Q = 82, and PR = 14.2.

Law of sine:

`(a)/(\sin A)=(b)/(\sin b)=(c)/(\sin C)`

Using law of sine, we get

`(QR)/(\sin P)=(PR)/(\sin Q)`

`(QR)/(\sin (33))=(14.2)/(\sin (82))`

`(QR)/(0.544639)=(14.2)/(0.990268)`

`QR=(14.2)/(0.990268)* 0.544639`

`QR=7.809879`

`QR\approx 7.8`

Therefore, the length of QR is 7.8 units.