Rules of trigonometry: mixed practice Problem set A Answers

1. (a) (8, 0) and (0, 6)
2. (b) 36.9°
3. (c) Both lines pass through (8, 0)
4. (d) 63.4°

x = 7.45 cm

θ = 57.5°

BC = 7.21 cm

1. (a) 46.0°
2. (b) 28.7 cm²

1. (a) 43.5° or 137°
2. (b) 102° or 8.50°

1. (a) y = 10.8 km
2. (b) d = 8.53 km

1. (a) x = 11.9 m
2. (b) 46.9°

1. (a) x = 5.30 m
2. (b) y = 5.97 m

BC = 20.2 cm

1. (a) 52.0°
2. (b) 7.71 cm

x = 14.2 cm

1. (a) h = d tan 32° ÷ (tan 36° − tan 32°)
2. (b) h = 36.9 m

1. (a) PO = h ÷ tan 27° and OQ = h ÷ tan 48°
2. (b) h = 26.2 m