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CanadaON
Grade 12

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.

Easy
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.

Easy
5min

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

Easy
13min

A rectangular prism has dimensions as labelled on the diagram.

Easy
13min
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Outcomes

12CT.C.1.4

Solve multi-step problems in two and three dimensions, including those that arise from real-world applications (e.g., surveying, navigation), by determining the measures of the sides and angles of right triangles using the primary trigonometric ratios

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