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4.06 3D Trigonometry problems

Interactive practice questions

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

a

Find the length of $EG$EG. Give your answer as a surd in simplest form.

b

Find the length of $AG$AG. Give your answer as a surd in simplest form.

c

Find $x$x, the size of $\angle EGH$EGH.

d

Find $y$y, the size of $\angle EGA$EGA, correct to 2 decimal places.

e

Find $w$w, the size of $\angle AHG$AHG.

f

Find $z$z, the size of $\angle AGH$AGH, correct to 2 decimal places.

Easy
13min

A rectangular prism has dimensions as labelled on the diagram.

Easy
13min

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

Easy
4min

A triangular prism has as dimensions those labelled on the diagram.

Easy
10min
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Outcomes

MA11-1

uses algebraic and graphical techniques to solve, and where appropriate, compare alternative solutions to problems

MA11-3

uses the concepts and techniques of trigonometry in the solution of equations and problems involving geometric shapes

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