Heights and Distances ( Part 3) Some Applications of Trigonometry | CBSE | Class 10 | Math Shiksha Abhiyan

Q6. From the top of a lighthouse, the angles of depression of two ships on the opposite side of it’s are observed to be α and β . If the height of the lighthouse be h m and the line joining the ships passes through the foot of the lighthouse, show t

Q5. Two ships are approaching a lighthouse from opposite directions. The angles of depression of the two ships from the top of a lighthouse are 30° and 45° . If the distance between the two ships is 100m , find the height of lighthouse.

Q4. Observed from the top of a 75 m high lighthouse (from sea level), the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the ships.

Q3. A man on cliff observes a boat at an angle of depression of 30° which is approaching the shore to the point immediately beneath the observer with a uniform speed. Six minutes later, the angle of depression of the boat is found to be 60°. Find the

Q2. The angles of elevation and depression of the top and bottom of a tower from the top of a building 60 m high are 30° and 60° respectively. Find the difference between the heights of the building and the tower and also the distance between them.

Q1. The angle of elevation of an aeroplane from a point on the ground is 60°. After a flight of 15 seconds, the angle of elevation changes to 30°. If the aeroplane is flying at a constant height of 1500V3 m, find the speed of the plane in km/hr.