Some Applicatio...

A tree breaks due to a storm and the broken part bends down such that the top of the tree touches the ground making an angle of $$30$$$$^o$$ with the ground at a distance of $$30$$ m. Then, the height of the tree is:

Alex observed that the angle of elevation to the top of $$800-foot$$ Mount Colin was $$23^{\circ}$$. To the nearest foot, how much closer to the base of Mount Colin must Alex move so that his angle of elevation is doubled?

A 15 m high eucalyptus tree standing erect on the ground breaks at the height of 5 m from it. The broken part bends such that the top of the tree touches the ground. Find the angle made by the broken part of the tree with the ground. 

A tower $$AB$$ leans towards west marking an angle $$\alpha$$ with the vertical. The angular elevation of $$B$$, the top most point of the tower is $$\beta$$ as observed from a point $$C$$ due east of $$A$$ at a distance $$'d'$$ from $$A$$. If the angular elevation of $$B$$ from a point $$D$$ due east of $$C$$ at a distance $$2d$$ from $$C$$ is $$r$$, then $$2\tan \alpha$$ can be given as

The angle of elevation and the angle of depression are $$30^o$$ and $$30^o$$ respectively when seen from the top of the first building to the top and base of the second building. If the distance between the bases of two building is 12 m, then find the height of big building.

The angle of elevation of the top of a vertical tower from two points at distances $$a$$ and $$b$$ $$(a>b)$$ from the base and in the same line with it, are complimentary. If $$\theta$$ is the angle subtended at the top of the tower by the line joining these points, then $$\sin{\theta}$$ is equal to

Elevation angle of the top of the mirror from the foot of the tower of height $$h$$ is $$\alpha$$ and the tower subtend an angle $$\beta$$ at the top of the mirror. Then, height of mirror is

The top of a hill observed from the top and bottom of a building of height $$'h'$$ is at angles of elevation $$p$$ and $$q$$, respectively. The height of hill is ?

The angle of elevation of a jet fighter from a point $$A$$ on the ground is $$60$$. After a flight of $$15$$ seconds, the angle of elevation changes to $$30$$. If the jet is flying at a speed of $$720km/hr$$, find the constant height in m.

The angles of depression of the top and the  bottom of a 7 m tall building from the top of a tower are $$45^0$$ and $$60^0$$ respectively.Find the height of the tower in metres.