Q1. A man standing on the ship which is 10 m above the water. He observe the angle of elevation of the top of the hills as 60 degree and angle of depression is 30 degree. Find the distance of the ship from the hill, and height of the hill.
Q2. From the top of a building which is 60 m high, the angles of depression of top and bottom of a tower are observed to be 30 degree and 60 degree. Find the height of the tower.
Q3. The angle of elevation of a jet plane from point A on the ground is 60 degree. After a flight of 30 sec, the angle of elevation changes to 30 degree at its constant height of 3600√3. Find the speed of jet.
Q4. Two men standing on either side of a cliff which is 90m high, observes the angles of elevation of the top of the cliff to be 60 degree and 30 degree respectively. Find the distance between the two men.
Q5. A 1.2m tall girl spots a balloon moving with the wind in a horizontal line at a constant height of 88.2m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60 degree. After some time, the angle of elevation reduces to 30 degree but the height remains the same. Find the distance travelled by the balloon during the interval.