Some Applicatio...

The upper part of a tree broken over by the wind makes an angle of $$60^{0}$$ with the ground and touches the ground at a distance of 50 metres from the foot.  The height of the tree in metres is 

The angle of elevation of the top of a flagstaff when observed from a point at a distance $$60$$ meters from its foot is $$30^{0}$$. The height of the flagstaff (in meters) is: 

From the top of a hill $$h$$ meters high, the angle of depression of the top and the bottom of a pillar are $$\alpha,\ \beta$$ respectively. Then the height(in meters) of the pillar is

From the top of the tree, a man observes the angle of depression of a point which is at a distance of $$40\ m$$ from the foot is $$75^{0}$$. The height of the tree is:

 A kite is flying with the string inclined at $$30^{o}$$ to the horizon.  The height of the kite above the ground, when the string is $$15\ m$$ long is 

A pole stands vertically, inside a triangular park $$ABC$$. If the angle of elevation of the top of the pole from each corner of the park is same, then the foot of the pole is at the:

The angles of elevation of top of a pole from two points $$A$$and $$B$$ on the horizontal line lying on opposite side of the pole are observed to be $$30^{\circ}$$ and $$60^{\circ}$$ If $$AB=100\ m$$, then height of the pole is

lf the shadow of a tower is $$\sqrt{3}$$ times of its height, the altitude of the sun is

The shadow of a tower on a level plane is found to be $$60$$ metres longer when the sun's altitude is $$30^{0}$$ than that when it is $$45^{0 }$$. The height of the tower in metres is

$$A$$ man on the top of an observation tower finds an object at an angle of depression $$30^{0}$$. After the object was moved $$30$$ metres in a straight line towards the tower, he finds the angle of depression to be $$45^{0}$$. The distance of the object now from the foot of the tower in metres is