91Ó°ÊÓ

A ship travels for \(10 \mathrm{~km}\) on a bearing of \(30^{\circ} .\) It then follows a bearing of \(60^{\circ}\) for \(20 \mathrm{~km}\). Calculate the distance of the ship from the starting position.

For questions \(1-10\) solve \(\triangle \mathrm{ABC}\) given \(A=36^{\circ}, B=79^{\circ}, \mathrm{AC}=11.63 \mathrm{~cm}\)

In questions \(1-10\) solve \(\triangle \mathrm{ABC}\) given \(\mathrm{AB}=42 \mathrm{~cm}, \mathrm{BC}=37 \mathrm{~cm}, \mathrm{AC}=26 \mathrm{~cm}\)

In questions 1-11 \(\Delta \mathrm{ABC}\) has a right angle at \(\mathrm{C}\). Calculate \(\mathrm{AB}\) given \(\mathrm{AC}=9 \mathrm{~cm}\) and \(\mathrm{BC}=15 \mathrm{~cm}\)

Find the resultant of the forces shown in Figure \(5.14\). a. b.

An aeroplane flies 150 miles on a bearing of \(105^{\circ}\) and then 107 miles on a bearing of \(217^{\circ}\). Find the bearing that the aeroplane must take to fly directly back to the starting position.

In questions \(1-10\) solve \(\triangle \mathrm{ABC}\) given \(\mathrm{AB}=29 \mathrm{~cm}, \mathrm{BC}=41 \mathrm{~cm}, B=100^{\circ}\)

In questions 1-11 \(\Delta \mathrm{ABC}\) has a right angle at \(\mathrm{C}\). Calculate \(\sin A\) given \(\mathrm{AC}=10 \mathrm{~cm}\) and \(\mathrm{AB}=14 \mathrm{~cm}\)

For questions \(1-10\) solve \(\triangle \mathrm{ABC}\) given \(\mathrm{AB}=15 \mathrm{~cm}, \mathrm{AC}=23 \mathrm{~cm}, B=57^{\circ}\)

In questions \(1-10\) solve \(\triangle \mathrm{ABC}\) given \(\mathrm{AC}=105 \mathrm{~cm}, \mathrm{AB}=76 \mathrm{~cm}, A=29^{\circ}\)