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2 years ago

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

Mathematics

1 answer:

Jobisdone [24]2 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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