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Delvig [45]
3 years ago
15

Given: △KPS m∠P=105°, m∠S=30° PS=12 Find: PK.

Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0

Answer:

 PK=8.49m

Explanation:

We have sine formula

     \frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

By sine formula we have

    \frac{PS}{sinK} =\frac{PK}{sinS} =\frac{KS}{sinP}

    We have PS = 12, ∠P=105° and ∠S=30°, so ∠K=180°-(105°+30°)=45°

 Substituting

        \frac{12}{sin45} =\frac{PK}{sin30} \\ \\ PK=8.49m      

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