topic badge
AustraliaVIC
VCE 11 General 2023

11.04 Trigonometry in 3D

Interactive practice questions

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

a

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

b

If the size of $\angle DFH$DFH is $\theta$θ°, find theta to two decimal places.

Medium
4min

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 $VA$VA is $23$23cm.

Medium
5min

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

Medium
13min

A rectangular prism has dimensions as labelled on the diagram.

Medium
13min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

U2.AoS4.9

solve practical problems involving right-angled triangles in the dimensions including the use of angles of elevation and depression, Pythagoras’ theorem trigonometric ratios sine, cosine and tangent and the use of three-figure (true) bearings in navigation

U2.AoS4.13

calculate the perimeter, areas, volumes and surface areas of solids (spheres, cylinders, pyramids and prisms and composite objects) in practical situations, including simple uses of Pythagoras’ in three dimensions

What is Mathspace

About Mathspace