An object is 6m away from a mast. The angle of depression of the object from the top of the mast is 50^o. Find, correct to 2 decimal places the height of the mast.

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.

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

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

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

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

Given that $\tan x=1$ where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ evaluate $\frac{1-{{\sin }^{2}}x}{\cos x}$

In the diagram $\angle WOX={{60}^{\circ }}$, $\angle YOE={{50}^{\circ }}$and $\angle OXY={{30}^{\circ }}$what is the bearing of X from Y

In the diagram TX is perpendicular to UW, $\left| UX \right|=1cm$and $\left| TX \right|=\left| WX \right|=\sqrt{3}cm$ Find $\angle UTW$

An object is 6m from the base of a mast. If the angle of depression of the object from the top of the mast is 50^o, find, correct to 2 decimal places, the height of the mast

Find the bearing of X from Y

In the diagram $\angle QPR={{90}^{\circ }}$ , if ${{q}^{2}}=25-{{r}^{2}}$ find the value of p

if $\tan x=1$evaluate $\sin x+\cos x$ leaving your answer in surd form 

In the diagram $\left| LN \right|=4cm,\angle LNM={{90}^{\circ }}$ and $\tan y=\tfrac{2}{3}$What is the area of $\triangle LMN$

In the diagram$\left| PQ \right|=4cm$, $\left| QR \right|=6cm,\text{ }\left| RS \right|=12cm$ $\angle QRS={{90}^{\circ }}$. Find the value of x

$\triangle PQR$ is a equilateral triangle with sides $2\sqrt{3}cm$ calculate its height

In the diagram $\left| QR \right|=5cm$ $\angle PQR={{60}^{\circ }}$ and $\angle PSR={{45}^{\circ }}$. Find $\left| PS \right|$ leaving your answer in surd form

A ladder 16m leans against an electric pole. If the ladder makes an angle of 65^o with the ground. How far up the electric pole does its top reach   

PQRS is a square. If X is the midpoint of PQ, Calculate correct to the nearest degree, $\angle PXS$