Respuesta :
We are given
m∠R = 30°
m∠PQS = 50°
SR = 5 cm.
I have attached the diagram for this problem and what is asked here is the length of line segment PQ
Since SQ bisects PQR, then
angle SQR = 50°
using the sine law
SQ / sin R = SR / sin SQR
Subsituting
SQ / sin 30 = 5 / sin 50
SQ = 3.26
Using trigonometry
cos PQS = PQ / SQ
cos 50 = PQ / 3.26
PQ = 2.10 cm
m∠R = 30°
m∠PQS = 50°
SR = 5 cm.
I have attached the diagram for this problem and what is asked here is the length of line segment PQ
Since SQ bisects PQR, then
angle SQR = 50°
using the sine law
SQ / sin R = SR / sin SQR
Subsituting
SQ / sin 30 = 5 / sin 50
SQ = 3.26
Using trigonometry
cos PQS = PQ / SQ
cos 50 = PQ / 3.26
PQ = 2.10 cm
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