1. Pythagoras & Trigonometry
Year 11 Mini-Assessment 8
HIGHER
Shape & Space
Pythagoras & Trigonometry

2. any answer which rounds
𝑆𝑖𝑛𝐶= 𝑂𝑝𝑝 𝐻𝑦𝑝 
𝑆𝑖𝑛𝐶= 
any answer which rounds
to 35.3/35.4
𝐶= 𝑠𝑖𝑛 −
= 35.4°

3. any answer which rounds 
23.04 O A O H O O S H T A 
𝑆𝑖𝑛𝑥=
𝐴= 𝑂𝑝𝑝 𝑇𝑎𝑛38 
𝑥= 𝑠𝑖𝑛 − 
𝐴= 18 𝑇𝑎𝑛38
= 62.4°
any answer which rounds
62.2 to 62.4 
A = 23.04

4.    72.9-73.1  A b C c 51° a B c = 9.88cm 𝑎 𝑠𝑖𝑛𝐴 = 𝑐 𝑠𝑖𝑛𝐶
𝐴𝑟𝑒𝑎= 1 2 𝑎𝑐𝑆𝑖𝑛𝐵
19 𝑠𝑖𝑛98 = 𝑐 𝑠𝑖𝑛31 
𝐴𝑟𝑒𝑎= ×9.88×𝑠𝑖𝑛51 
19𝑠𝑖𝑛31 𝑠𝑖𝑛98 =𝑐 
𝐴𝑟𝑒𝑎=72.9 𝑐𝑚 2 
c = 9.88cm