Waecmaths

Title waecmaths question
Question 18

From a point R 300m north of P, a man walks eastwards to a place Q which is 600, from P. Find the bearing of P from Q correct to the nearest degree.

Question 43

The angle of elevation of the top of a cliff  15metres is 60o. How far is the landmark from the foot of the cliff. Leave your answer in surd form

Question 25

A bearing of 320o expressed as a compass bearing is

Question 26

Given that$\cos {{30}^{\circ }}=\sin {{60}^{\circ }}=\frac{\sqrt{3}}{2}$ and $\sin {{30}^{\circ }}=\cos {{60}^{\circ }}=\frac{1}{2}$ evaluate $\frac{\tan {{60}^{\circ }}-1}{1-\tan {{30}^{\circ }}}$ 

Question 27

A stationary boat is observed from a height of 100 m . If the horizontal distance between the observer and the boat is 80 m. Calculate, correct to two decimal places, the angle of depression of the boat from the point of observation

Question 23

The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot on the tree is 30o. Find the height of the tree.

Question 24

If $\tan x=\tfrac{4}{3}$, $0{}^\circ <x<90{}^\circ $, find the value of $\sin x-\cos x$ 

Question 25

Given that Y is 20m on a bearing of 300o from X, how far south of Y is X?

Question 24

In $\Delta XYZ$, $\left| YZ \right|=32cm$, $\angle YXZ=52{}^\circ $ and $\angle XZY=90{}^\circ $ Find, correct to the nearest centimetre, $\left| XZ \right|$

Question 36

The foot of a ladder is 6m from the base of an electric pole. The top of the ladder rest against the pole at a point 8 m above the ground. How long is the ladder 

Question 37

If $\tan x=\frac{3}{4}$, $0{}^\circ <x<90{}^\circ $evaluate $\frac{\cos x}{2\sin x}$

Question 38

From the top of a vertical cliff 20m high, a boat at sea can sighted 75 m away and on the same horizontal position as the foot of the cliff. Calculate, correct to the nearest degree, the angle of depression of the boat from the top of the cliff

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