Trigonometry

NZ Level 7 (NZC) Level 2 (NCEA)

Trigonometry in 3D

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

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Apply trigonometric relationships, including the sine and cosine rules, in two and three dimensions

Apply trigonometric relationships in solving problems