The answer is the length of p, to the nearest 10th of a centimeter is 13.3 cm .
What is the law of sines ?
he Law of Sines (or Sine Rule) is very useful for solving triangles.
According to the law ,
When we divide side a by the sine of angle A
it is equal to side b divided by the sine of angle B
and also equal to side c divided by the sine of angle C
[tex]\rm \dfrac{a}{sinA} = \dfrac{b}{sinB} = \dfrac{c}{sinC}[/tex]
It is given that in Δ PQR
r = 4.9 cm
angle R = 21
angle P =104
Length of p needs to be found
Therefore by using above equation
[tex]\rm \dfrac{r}{sinR} = \dfrac{p}{sinP}[/tex]
[tex]\rm \dfrac{4.9}{sin21^{0}} = \dfrac{p}{sin104^{0}}[/tex]
p= 13.3 cm
Therefore the length of p, to the nearest 10th of a centimeter is 13.3 cm .
To know more about law of sines
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