Question

Find the value of θ correct to the nearest minute.

Answer 1

`\tan (\angle SPR)=(8.2)/(6.5) \longrightarrow \angle SPR=\tan^(-1) \left((8.2)/(6.5) \right)`

`\tan (\angle QPR)=(8.2+5)/(6.5) \longrightarrow \angle QPR=\tan^(-1) \left((8.2+5)/(6.5) \right)`
`\theta=\angle QPR-\angle SPR=\tan^(-1) \left((8.2+5)/(6.5) \right)-\tan^(-1) \left((8.2)/(6.5) \right)\\\\\theta \approx \boxed{12^(\circ) 11'}`