Heights and Distances (Part 4) Some Applications of Trigonometry | CBSE | Class 10 | Math Shiksha Abhiyan

Q6. A man standing on the deck of a ship, which is 10m above the water level, observes the angle of elevation of the top of a hill as 60°, and the angle of depression of the base of the hill as 30°. Find the distance of the hill from the ship and the

Q5. An aeroplane when flying at a height of 3000 m from the ground passes vertically above another aeroplane at an instant when the angles of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Find the vertical

Q4. A boy whose eye level is 1.3 m from the ground, spots a balloon moving with the wind in a horizontal line at some height from the ground. The angle of elevation of the balloon from the eyes of the boy at an instant is 60°. After 2 seconds, the angl

Q3. A round balloon of radius r subtends an angle α at the eye of the observer while the angle of elevation of its centre is β . Prove that the height of the centre of the balloon is (rsin β csc α /2)

Q2. The angle of elevation of a cloud from a point 60m above the surface of the water of a lake is 30° and the angle of dpression of it's shadow in water of lake is 60°. Find the height of the cloud from the surface of water.

Q1. The angle of elevation of a cloud from a point h meters above a lake is and the angle of depression of its reflection in the lake is β . prove that the height of the cloud is h (tan β + tan α ) (tan β - tan α ) m.