Some Applicatio...

A man on the top of a rock observed a boat coming towards the rock with a uniform speed. It takes $$15$$ minutes for the angle of depression to change from $$\displaystyle 60^{\circ}$$ to $$\displaystyle 30^{\circ}$$ then what time will the boat take to reach the shore?

The height of a tower is $$100 \sqrt3$$. The angle of elevation of its top from a point $$100 m$$ away from its foot(base) is ______.

If the given object is above the level of the observer, then the angle by which the observer raises his head is called _____. 

In case of angle of depression the observer has to look _____ to view the object. 

From a point at a height $$h$$ m above a lake, the angle of elevation of a cloud is $$\displaystyle \alpha $$ and the angle of depression of its reflection in the lake is $$\displaystyle \beta $$. The height of the cloud above the surface of the lake is 

The angles of depression of the top and the bottom of a $$10\ m$$ tall building observed from the top of a tower are $$\displaystyle 30^{0} $$ and  $$\displaystyle 45^{0}$$ respectively. Find the height of the tower  (in $$m$$)

From the foot of a tower, the angle of elevation of the top of a column is 60$$^{\circ}$$ and from the top of the tower the angle of elevation is 30$$^{\circ}$$. If the height of the tower is 25 m, the height of the column is _____ 

An observer $$1.5$$ m tall is $$28.5$$ m away from a tower and the angle of elevation from the eye of the observer is $$45^o$$. The height of the tower is:

The heights of the two poles are $$80$$ m and $$65$$ m. If the line joining their tops makes an angle of 45$$^o$$ with the horizontal line passing through their top, then the distance between the poles is ______.

The angle of elevation of the top of a tower from a point on the ground $$30$$ m away fro the foot of the tower is 30$$^o$$. The height of the tower is _____.