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

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.

From a point P,R is 5km due west and 12km due south. Find the distance between P and R

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?

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

Given that  $\tan x=\tfrac{2}{3}$, where ${{0}^{\circ }}\le x\le {{90}^{\circ }}$, find the value of $2\sin x$

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   

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 $\angle PQR$

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

If tan y = 0.404, where y is acute, find cos 2y