HARD
10th CBSE
IMPORTANT
Earn 100

Seaweed is found under an 80 m deep seafloor. To reach it a diver makes a 45° dive from a boat.By the time the diver collected seaweed, the boat shifted 20 m on the opposite side. The diver now has to rise at an angle of 60° to reach the boat.
What is the distance the diver travels to reach the boat?

Important Questions on Some Applications of Trigonometry

EASY
10th CBSE
IMPORTANT
Seaweed is found under an 80 m deep seafloor. To reach it a diver makes a 45° dive from a boat. What is the distance travelled by the diver to reach the seafloor?
EASY
10th CBSE
IMPORTANT

At the toll plaza, a traffic monitoring camera is also installed at a height of 6.2 m. It takes pictures of moving vehicles at regular intervals.

The diagram below shows the position of the camera and a car moving away from it after paying the toll in four instances. The speed of the car is 5 m/s.

Question Image

The angle made by the camera to the car in instance 1 is 30° and changes to 60° in instance 4.What is the distance moved by the car? (3=1.73)

MEDIUM
10th CBSE
IMPORTANT
If a pole 6 m high casts a shadow 23 m long  on the ground, then the Sun's elevation is
MEDIUM
10th CBSE
IMPORTANT
The tops of the two towers of height x and y, standing on level ground, subtends angle of 30° and 60° respectively at the centre of the line joining their feet, then find x:y.
MEDIUM
10th CBSE
IMPORTANT
An aeroplane flying horizontally 1 km above the ground is observed at an elevation of 60° and after 10 seconds the elevation is observed to be 30°. The uniform speed of the aeroplane (in km/h), is
HARD
10th CBSE
IMPORTANT
The angle of elevation of the top of a tower from certain point is 30°. If the observer moves 20 m towards the tower, the angle of elevation of the top increases by 15°. Find the height of the tower. 
HARD
10th CBSE
IMPORTANT

From the top of a tower h  m high, angles of depression of two objects, which are in line with the foot of the tower are α and β β>α. Find the distance between the two objects.

HARD
10th CBSE
IMPORTANT
If a man standing on a platform 3 m above the surface of a lake observes a cloud and its reflection in the lake, then the angle of elevation of the cloud is equal to the angle of depression of its reflection.