Find \(\angle P\) to the nearest degree.

Find the smallest angle to the nearest degree.

Tony walks for 83 km from A in a direction \({\rm{111}}^\circ \) to B and then for 78 km in a direction \({\rm{204}}^\circ \) to C. What is the distance from A to C?

Tony walks for 83 km from A in a direction \({\rm{111}}^\circ \) to B and then for 78 km in a direction \({\rm{204}}^\circ \) to C. What is the bearing from C to A?

The lengths of the sides of a triangle are 6, 7 and 9.

i) Find the size of the angle opposite the longest side. Give your answer to the nearest degree

ii) Find the area of the triangle correct to two significant figures.

In \(\Delta ABC\), AB = 3, AC = 4 and \(\angle ABC = {60^o}\) and BC = \(x\). Find the exact value of \(x\).

PQRS is a parallelogram, PS = 4, RS = 8 and \(\angle PSR = {60^o}\). Find the exact length of the diagonal QS.

In \(\Delta ABC,\,AB = {n^2} - 1,\,BC = 2n\) and \(AC = {n^2} + 1.\) Find the size of the largest angle in \(\Delta ABC\).

Find the smallest angle.

Find the length of AC.

Find the length of \(BC\)

\(ABCD\) is a parallelogram in which the length of \(AB\) and \(AD\) are 2 cm and 1 cm respectively and \(\angle ABC = 60^\circ\), also the diagonals cut at \(P\) and \(\angle APB = \theta^\circ\).

Calculate the \(\textbf{exact}\) values of

i) \(AC\)

ii) \(BD\)

iii) \(\cos \theta\)