Write down the value of $\angle z$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

The diagrams show a right-angled isosceles triangle and an equilateral triangle. Use Pythagoras theorem to calculate length $EG$.

Use your diagram to find the exact values of $\sin 30°, \cos 30°, \tan 30°, \sin 60°, \cos 60°, \tan 60°$. The diagrams show a right-angled isosceles triangle and an equilateral triangle.

Complete the table given below using the diagram.

$\begin{array}{cc}\sin {30}^o& \\ \cos 30°& \\ \tan {30}^o& \\ \cos {60}^o& \\ \sin {60}^o& \\ \tan {60}^o& \end{array}$

The diagram represents a ramp $AB$ for a lifeboat. $AC$ is vertical and $CB$ is horizontal.
Calculate the size of $\angle ABC$ correct to $1$ decimal place.

The diagram represents a ramp$AB$ for a lifeboat. $AC$ is vertical and $CB$ is horizontal.

Calculate the length of $BC$ correct to $3$ significant figures. $\left(\text{Take} \angle ABC=16.2°\right)$

The diagram represents a tent in the shape of a triangular prism. The front of the tent, $ABD$, is an isosceles triangle with $AB=AD$.

The width $BD$ is $1.8 \mathrm{m}$ and the supporting pole $AC$ is perpendicular to $BD$ and $1.5 \mathrm{m}$ high. The tent is $3 \mathrm{m}$ long. Calculate the angle between $AB \text{and }BD$.

The diagram represents a tent in the shape of a triangular prism. The front of the tent, $ABD$, is an isosceles triangle with $AB=AD$.

The width $BD$ is $1.8 \mathrm{m}$ and the supporting pole $AC$ is perpendicular to $BD$ and $1.5 \mathrm{m}$ high. The tent is $3 \mathrm{m}$ long. Calculate the length of $AB$.