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 50o. Find, correct to 2 decimal places the height of the mast. |
Question 26 |
The bear of Y from X is 060o and the bearing of Z from Y =060o. 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 + 40o) = 0.0872, what is the value of x? |
Question 25 |
A kite on a taut string of length 50m inclined at an angle of 54o 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 050o and $\angle PQR={{72}^{\circ }}$ .Calculate the bearing of R from Q |
Question 3 |
Given that $\cos {{x}^{\circ }}=\tfrac{1}{r}$ express tan xo in terms of r |
Question 12 |
Esther was facing S 20oW. She turned 90o 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 50o, 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 042o and R is 25km from P on a bearing of 132o. 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 310o. 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 110o and the bearing of Q from P is 050o. Find $\angle PQR$ |
Question 50 |
A ladder 16m leans against an electric pole. If the ladder makes an angle of 65o 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 30o. 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 |