Trigonometry
Practice Trigonometry MCQs from the Mathematics syllabus.
A point is 30 m away from a tower. The elevation to the top is 30°. Height of tower is:
In a right-angled triangle, if the base is 5 cm and the perpendicular is 5 cm, the angle is:
The line of sight is the line joining the observer's eye to the:
If sin θ = 1/√2 in a height and distance problem, what is the angle?
A pole casts no shadow when the sun is directly overhead. What is the angle of elevation?
A person looking down at a ball on the ground creates an angle of:
The height of a tower is 50 m. If the angle of elevation is 45°, what is the shadow length?
If the hypotenuse is 20 m and the angle with the base is 30°, find the perpendicular height.
A chimney 20 m high is observed from 20√3 m distance. What is the angle?
Shadow of a tower is 30 m when sun's elevation is 60°. Height of tower?
Which trigonometric ratio is most commonly used in height and distance problems?
If a bird is 40 m high and the angle of elevation from a boy is 30°, how far is the bird from the boy's eye?
A ladder 20 m long leans against a wall at 60°. Distance of foot from wall?
A tree breaks due to a storm and the broken part bends so that the top touches the ground making an angle of 30° at a distance of 10 m from the foot. Find the original height of the tree.
Two poles of equal heights are standing opposite to each other on either side of a 100 m road. From a point between them, the elevations are 30° and 60°. Find the pole height.
The angle of elevation of the top of a tower from two points at distances 'a' and 'b' (a > b) from the base and in the same straight line with it are complementary. The height of the tower is:
From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Find the tower height.
A 1.2 m tall girl spots a balloon moving horizontally at a height of 88.2 m. The angle of elevation changes from 60° to 30°. Find the distance traveled by the balloon.
As one moves towards a tower, the angle of elevation of its top:
The angle of elevation of the top of a building from the foot of a tower is 30° and from the foot of the building to the top of the tower is 60°. If the tower is 50 m high, find building height.