The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30^o . Find the height of the tower.

From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45^o and 60^o respectively. Find the height of the tower.

The angle of elevation of the top of a building from the foot of a tower is 30^o and the angle of elevation of the top of the tower from the foot of the building is 60^o. If the tower is 50 m high, find the height of the building.

From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60^o and the angle of depression of its foot is 45^o. Determine the height of the tower.

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30^o , which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^o . Find the time taken by the car to reach the foot of the tower from this point.

An observer, 1.7 m tall, is \(20\sqrt { 3 } \) m away from a tower. The angle of elevation from the eye of observer to the top of tower is 30^o . Find the height of tower.

If a pole 6 m high throws shadow of \(2\sqrt { 3 } \) m, then find the angle of elevation of the sun.

As observed from the top of a light - house, 100 m high above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30^o to 60^o . Determine the distance travelled by the ship during the period of observation. \((Use\sqrt { 3 } =1.732)\) 

The angle of elevation of the top of a vertical tower from a point on the ground is 60^o , From another point 10 m vertically above the first, its angle of elevation is 30^o . Find the height of the tower.

A kite is flying at a height of 75 m from the level ground, attached to a string inclined at 60^o to the horizontal. Find the length of the string to the nearest metre.

Find the angle of elevation of the sun when the shadow of a pole h metres high is \(\sqrt{3}\) h metres long

A spherical balloon of radius 'r' subtends an angle \(\theta\) at the eye of an observer.If the angle of elevation of is \(\phi \), find the height of the centre of the balloon.

Mahesh, a fireman while throwing water on the fire of a burning house noticed a child in the first floor of burning house crying help Mahesh at once tied a rope at the top of a pole near the burning house and its other end tied at the ground. He climbed the rope and from top of the pole picked the child and save her life. If the height of the pole is 12metre and the angle made by the rope with ground is 30^o, calculate the distance covered by the fireman to reach the top of the pole
(i)What do you consider the act done by fireman to save the child?