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

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?

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

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

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

If $\cos {{(x+25)}^{o}}=\sin {{45}^{o}}$, find the value of x

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

If ${{x}^{o}}$ is obtuse, which of the following is true?

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

If $\left| XY \right|=50m$ how far east of X is Y?