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iGCSE (2021 Edition)

16.09 Trigonometry in 3D (Extended)

Interactive practice questions

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

A cube with upper face is the square ABCD and the lower face is the square EFGH.

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 two decimal places.

e

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

f

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

Easy
13min

A square prism has sides of length $7$7cm, $7$7cm and $17$17cm as shown.

Easy
4min

This box is to have a divider placed in as shown.

Easy
2min

The diagram shows a rectangular prism.

Easy
2min
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Outcomes

0607E8.7

Applications: three-figure bearings and North, East, South, West problems in two and three dimensions.

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