Question Bank
Search, filter, and explore every MCQ across all subjects and topics.
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.
A bridge over a river makes an angle of 45° with the river bank. If the length of the bridge across the river is 150 m, find the width of the river.
From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 20 m high building are 45° and 60°. Find the tower height.
A statue 1.6 m tall stands on a pedestal. From a point, the elevation of the top of statue is 60° and pedestal top is 45°. Find pedestal height.
The shadow of a tower is found to be 40 m longer when the sun's altitude is 30° than when it is 60°. Find the tower height.
A TV tower stands vertically on a bank of a canal. From a point 20 m away from the bank, the angle of elevation is 30°. From the bank, it is 60°. Find the canal width.
An observer 1.5 m tall is 20.5 m away from a tower 22 m high. What is the angle of elevation?
Two ships are on the same side of a lighthouse. The angles of depression from the 100 m lighthouse are 30° and 45°. Find the distance between ships.
A flagstaff of 5 m height stands on a tower. From ground, elevations of top and bottom of flagstaff are 60° and 45°. Tower height?
If the height of a pole is increased by 10%, and the angle of elevation remains 45°, the shadow length:
From a point P on the ground, the angle of elevation of the top of a 10 m tall building is 30°. A flag is hoisted at the top. The angle of elevation of the top of the flag is 45°. Find the length of the flag.