Applications of trigonometry Problem set B Answers

1. (a) AG = 10.0 cm
2. (b) 23.5°
3. (c) 45.9°
4. (d) 46.9°

1. (a) AC = 13.9 cm, angle ACE = 23.3°
2. (b) HB = 15.2 cm
3. (c) 23.3°
4. (d) 52.9 cm²

1. (a) AG = 12.75 cm
2. (b) 19.7°

1. (a) Isosceles triangle: AE = EC = 9 cm, AC = 8.49 cm, with the height from E to the midpoint of AC
2. (b) 7.94 cm
3. (c) 56.3°
4. (d) 29.0°

1. (a) 50.9°
2. (b) 54.4°

1. (a) 52.4°
2. (b) 51.3°

1. (a) 10.1 km
2. (b) 075°

1. (a) 6.87 km
2. (b) 276°

1. (a) North line at C; the flagpole 310 m away on a bearing of 308°; the stream due west of C and due south of the flagpole; right angle at the stream
2. (b) 191 m

3.76 km

1. (a) 13.8 m
2. (b) 27.3 m
3. (c) 57.6 m
4. (d) 200 m

1. (a) 10.3 m
2. (b) 34.7 m
3. (c) 17.4°

1. (a) Volume 2500 m³, so 3 units. Assumptions: the entrance is a solid pyramid full of air, with nothing taking up space inside; units are whole numbers, so round up
2. (b) 178 kW
3. (c) 47.3°: scaffolding is not needed

1. (a) 2.44 m
2. (b) 12.1 m³
3. (c) 63.2%
4. (d) 39.9%