Trigonometry

Hong Kong

Stage 1 - Stage 3

A square prism has sides of length $3$3cm, $3$3cm and $14$14cm as shown.

a

If the diagonal $HF$`H``F` has a length of $z$`z` cm, calculate $z$`z` to two decimal places.

b

If the size of $\angle DFH$∠`D``F``H` is $\theta$`θ`°, find theta to two decimal places.

Easy

Approx 5 minutes

The following is a right pyramid on a square base with side length $12$12cm. A right pyramid has its apex aligned directly above the centre of its base.

The edge length $VA$`V``A` is $23$23cm.

All edges of the following cube are $7$7 cm long.

A rectangular prism has dimensions as labelled on the diagram.

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