Applications of trigonometry Problem set A Answers

1. (a) AG = 11.2 cm
2. (b) 32.5°
3. (c) 44.3°
4. (d) 64.9°

1. (a) AC = 11.7 cm, angle ACE = 23.2°
2. (b) HB = 12.7 cm
3. (c) 23.2°
4. (d) 41.8 cm²

1. (a) AG = 11.07 cm
2. (b) 25.4°

1. (a) Isosceles triangle: AE = EC = 11 cm, AC = 11.3 cm, with the height from E to the midpoint of AC
2. (b) 9.43 cm
3. (c) 61.9°
4. (d) 32.0°

1. (a) 52.3°
2. (b) 59.4°

1. (a) 55.3°
2. (b) 54.5°

1. (a) 6.92 km
2. (b) 288°

1. (a) 4.50 km
2. (b) 345°

1. (a) North line at H; the pylon 250 m away on a bearing of 125°; the well due east of H and due north of the pylon; right angle at the well
2. (b) 143 m

4.57 km

1. (a) 13.6 m
2. (b) 29.2 m
3. (c) 129 m
4. (d) 43.1 m

1. (a) 22.3 m
2. (b) 42.0 m
3. (c) 35.0°

1. (a) Volume 4570 m³, so 8 units. Assumptions: the greenhouse is a solid pyramid full of air, with nothing taking up space inside; units are whole numbers, so round up
2. (b) 188 kW
3. (c) 51.3°: scaffolding is needed

1. (a) 2.50 m
2. (b) 72.0 m³
3. (c) 44.0%
4. (d) 19.4%