Question

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

Answer 1

PK=8.49m

Step-by-step explanation:

We have sine formula

`(a)/(sinA) =(b)/(sinB) =(c)/(sinC)`

By sine formula we have

`(PS)/(sinK) =(PK)/(sinS) =(KS)/(sinP)`

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

Substituting

`(12)/(sin45) =(PK)/(sin30) \\ \\ PK=8.49m`