Waecmaths
Title  waecmaths question 

Question 24 
If $\sin x=\tfrac{5}{13}$ and ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ find the value of $(\cos x\tan x)$ 
Question 25 
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. 
Question 26 
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 
Question 29 
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. 
Question 33 
Given that $\cos x=\tfrac{12}{13}$evaluate $\frac{1\tan x}{\tan x}$ 
Question 38 
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 
Question 18 
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 
Question 24 
If cos(x + 40^{o}) = 0.0872, what is the value of x? 
Question 25 
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 
Question 26 
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 
Question 3 
Given that $\cos {{x}^{\circ }}=\tfrac{1}{r}$ express tan x^{o} in terms of r 
Question 12 
Esther was facing S 20^{o}W. She turned 90^{o} in the clockwise direction. What direction is she facing ? 
Question 49 
A boy looks through a window of a building and sees a man fruits on the ground 50 m away from the foot of the building. If the windows is 9m from the ground. Calculate, correct to the nearest degree, the angle of depression of the mango from windows 
Question 25 
Given that $\tan x=1$ where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$ evaluate $\frac{1{{\sin }^{2}}x}{\cos x}$ 
Question 26 
If $\sin 3y=\cos 2y$ and ${{0}^{\circ }}\le y\le {{90}^{\circ }}$, find the value of y 
Question 46 
In the diagram $\angle WOX={{60}^{\circ }}$, $\angle YOE={{50}^{\circ }}$and $\angle OXY={{30}^{\circ }}$what is the bearing of X from Y 
Question 21 
Kweku walked 8m up a slope and was 3m above the ground. If he walks 12m further up the slope, how far above the ground will he be? 
Question 26 
In the diagram TX is perpendicular to UW, $\left UX \right=1cm$and $\left TX \right=\left WX \right=\sqrt{3}cm$ Find $\angle UTW$ 
Question 27 
If $\cos \theta =x$and $\sin {{60}^{\circ }}=x+0.5$ ${{0}^{\circ }}<\theta <{{90}^{\circ }}$find correct to the nearest degree, the value of θ 
Question 49 
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 
Question 25 
Given that $\sin {{60}^{\circ }}=\tfrac{\sqrt{3}}{2}\text{ and }\cos {{60}^{\circ }}=\tfrac{1}{2}$ evaluate $\frac{1\sin {{60}^{\circ }}}{1+\cos {{60}^{\circ }}}$ 
Question 26 
Find the bearing of X from Y

Question 27 
If $\left XY \right=50m$ how far east of X is Y? 
Question 16 
In the diagram $\angle QPR={{90}^{\circ }}$ , if ${{q}^{2}}=25{{r}^{2}}$ find the value of p 
Question 26 
If ${{x}^{o}}$ is obtuse, which of the following is true? 
Question 27 
if $\tan x=1$evaluate $\sin x+\cos x$ leaving your answer in surd form 
Question 28 
If $\cos {{(x+25)}^{o}}=\sin {{45}^{o}}$, find the value of x 
Question 17 
In the diagram $\left LN \right=4cm,\angle LNM={{90}^{\circ }}$ and $\tan y=\tfrac{2}{3}$What is the area of $\triangle LMN$ 
Question 30 
Q is 32km away from P on a bearing of 042^{o} and R is 25km from P on a bearing of 132^{o}. Calculate the bearing of R from Q 
Question 31 
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 
Question 33 
The bearing of a point P from another point Q is 310^{o}. If $\left PQ \right=200M$ how far east of Q is P? 
Question 40 
$\triangle PQR$ is a equilateral triangle with sides $2\sqrt{3}cm$ calculate its height

Question 10 
If tan y = 0.404, where y is acute, find cos 2y 
Question 13 
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 
Question 27 
In the diagram, P, Q and R are three points in a plane such that the bearing of R from Q is 110^{o} and the bearing of Q from P is 050^{o}. Find $\angle PQR$ 
Question 50 
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 
Question 23 
Given that $\tan x=\tfrac{2}{3}$, where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$, find the value of $2\sin x$ 
Question 24 
PQRS is a square. If X is the midpoint of PQ, Calculate correct to the nearest degree, $\angle PXS$ 
Question 25 
The angle of elevation of an aircraft from a point K on the horizontal ground is 30^{o}. If the aircraft is 800m above the ground. How far is it from K? 
Question 7 
From a point P,R is 5km due west and 12km due south. Find the distance between P and R 