Esther was facing S 20^oW. She turned 90^o in the clockwise direction. What direction is she facing ?

Given that $\cos {{x}^{\circ }}=\tfrac{1}{r}$ express tan x^o in terms of r

The position of three  ships P, Q and R at sea are illustrated in the diagram . The arrow indicated the North direction. The bearing of Q from P is 050^o and $\angle PQR={{72}^{\circ }}$ .Calculate the bearing of R from Q

A kite on a taut string of length 50m  inclined at an angle of 54^o to the horizontal ground. The height of the kite above the ground is

If cos(x + 40^o) = 0.0872, what is the value of x?

In diagram \[\left| QR \right|=10m,\text{ }\left| SR \right|=8m,\]\[\angle QPS={{30}^{\circ }},\angle QRP={{90}^{\circ }}\text{ and }\left| PS \right|=x\]find x

A man’s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high, calculate, correct to the nearest degree, the angle of elevation of the top of the pole from his eyes

Given that  $\cos x=\tfrac{12}{13}$evaluate $\frac{1-\tan x}{\tan x}$

A ship sails x km due east to a point E and continues x km due north to F . Find the bearing of F from the starting point.

The bear of Y from X is 060^o and the bearing of Z from Y =060^o. Find the bearing of X from Z