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13. Find PS.

39

Р

\76°

R

28°

S

Sagot :

Abidemiokinidn

Answer:

21.38

Step-by-step explanation:

Find the diagram attached

In order to get PS, we need to get the length of QS first

According to triangle QRS;

QS =opposite

QR = 39(adjacent)

Using SOH CAH TOA

Tan theta = opp/adj

Tan 28 = QS/39

QS = 39tan28

QS = 39(0.5317)

QS = 20.74

Get PS

sin theta = QS/PS

sin 76 = 20.74/PS

PS = 20.74/sin76

PS = 20.74/0.9703

PS = 21.38

Hence the length of PS is 21.38

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