A vertical pole and a vertical tower are on the same level of ground in such a way that from the top of the pole, the angle of elevation of the top of the tower is 60⁰ and the angle of depression of the bottom of the tower is 30⁰. If the height of the tower is 76 m. then find the height (in ₹) of the pole.

An earthing wire connected to the top of an electricity pole has its other end inside the ground. The foot of the wire is 1.5 m away from the pole and the wire is making an angle of 60° with the level of the ground. Determine the height of pole. 

A ladder is placed along a wall such that its upper end is touching the top of the wall. The foot of the ladder is 10 ft away from the wall and the ladder is making an angle of 60 ° with the ground. When a man starts climbing on it, it slips and now ladder makes an angle of 30° with ground. How much did the ladder slip? 

The angle of elevation of the top of a tower from a point A on the ground is 30^o. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increase to 60^o.The height of the tower is-

If the angel of elevation of the sun decreases from 45⁰ to 30⁰, then the length of the shadow of a pillar increase by 60 m. The height of the pillar is

An aero plane flying horizontally at a height of 3 km. Above the ground is observed at a certain point on earth to subtend an angle of 60⁰. After 15 sec flight, its angle of elevation is changed to 30⁰. The speed of the aero plane (taking √3=1.732)

If the angle of elevation of the sun changes from 30^o to 45^o then length of the shadow of a pillar decreases by 20 meters. The height of the pillar is:

A ladder 20 m long is leaning against a vertical wall. It makes an angle of 30° with the ground. How high on the wall does the ladder reach?