Height and Distance Questions

From the top of a platform 5 m high, the angle of elevation of a tower was 30 deg. If the tower was 45 m high, how far away from the tower was the platform positioned?

The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60 deg. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30 deg. How much did she walk from her initial position?

The angle of elevation of the top of a tower at a distance of 25 m from its foot is 60 deg. The approximate height of the tower is

The height of a light house is 20 mts above sea level. The angle of depression (from the top of the lighthouse) of a ship in the sea is 30 deg. What is the distance of the ship from the foot of the light house?

A balloon is connected to a meteorological station by a cable of length 130 m, inclined at 60 deg to the horizontal. Find the height of the balloon from the ground. Assume that there is no slack in cable.

A kite is flying at a height of 50m. If the length of string is 100 m then the inclination of string to the horizontal ground in degree measures is

If the length of the shadow of a vertical pole on the horizontal ground is √3 times its height, then the angle of elevation

From the top of a building, the angles of elevation and depression of top and bottom of a tower are 60 deg and 30 deg respectively. If the height of the building is 5m, then the height of the tower is