1 From the top of a cliff 50 m high, the angle of depression of a boat is 30°. How far is the boat from the base of the cliff? A 50√3 m B 50/√3 m C 100 m D 25 m
2 If the sector angle is 120° and radius is 9 cm, what is the arc length? A 6π cm B 3π cm C 12π cm D 18π cm
4 An aeroplane is flying at a height of 500 m. The angle of depression of an airport is 30°. How far is the aeroplane from the airport (along the line of sight)? A 1000 m B 500√3 m C 250 m D 500/√3 m
7 A triangle has sides 3, 4, and 5. What is the sine of the angle opposite the side of length 3? A 3/5 B 4/5 C 3/4 D 4/3
8 If the angle of depression from the top of a building to a car is 45° and the building is 30 m high, how far is the car from the building? A 30 m B 30√2 m C 15 m D 60 m
9 A man walks 5 km due North and then 5 km due East. What is his bearing from the starting point? A 045° B 135° C 315° D 225°
11 A ladder 13 m long reaches a window 12 m high. What is the angle of elevation of the ladder? A sin⁻¹(12/13) B cos⁻¹(12/13) C tan⁻¹(12/13) D tan⁻¹(13/12)
13 In a right-angled triangle, if the opposite side is 6 and the adjacent side is 8, what is tan θ? A 3/4 B 4/3 C 3/5 D 5/4
14 What is the angle of elevation from a point on the ground to the top of a building if the observer looks up? A The angle above the horizontal line B The angle below the horizontal line C The angle between the building and the ground D The angle between the observer and the building
18 What is the radius of a circle if its sector has an arc length of 15 cm and a central angle of 3 radians? A 5 cm B 45 cm C 3 cm D 10 cm