Right-Angled Trig
True Bearings
Non-Right Angled Trig
Problem Solving
100
Find x
6.09 km
100
Write the bearing of R from S.
212°
100
Find the area of the triangle.
6.29 cm2
100
One building casts a shadow onto another building 11m away at an angle of depression of 34°. The shadow goes up 7.58 m on the second building. How tall is the first building?
15 m
200
Find \theta
52°
200
Find the bearing of Z from Y.
155°
200
Find x 
7.96
200
AOB is a slice of pizza. [AB] is 11.5 cm long, and angle AOB is 45°. Find the diameter of the pizza, to the nearest cm.
30 cm
300
Find \theta
41.8°
300
Find the bearing of E from F.
204°
300
Find angle ABC.
27.3° (27.4° rounding error)
300
Find the length of CF in the box below.
11.2 cm
400
Use the diagram to estimate the value of tan 69 (give your answer to 3 decimal places).
2.602
400
A wolf travels 161 m north to a water hole. He then chases some prey 240 m west. Find the bearing of his position from his starting point (to the nearest degree).
304°
400
Find x
3.79 cm
400
Find the area of the Bermuda triangle shown below.
437812 miles squared (437814 miles squared with rounding error)
500
Find sin Φ
0.85
500
A bird flies in the direction 230° and stops when it is 4 km west of its starting point. Find the distance and direction that the bird must travel to return to its starting point.
5.22 km, 50° T
500
Find \theta
41.4°
500
A boat sails from point A on a bearing of 140°T for 40 km to point B. It then sails on a bearing of 250°T for 80 km to point C. Find the distance AC.
76.23 km