Some Applicatio...

The angle of elevation of a ladder leaning against a wall is $$\displaystyle 60^{\circ}$$ and the foot of the ladder is $$4.6\ m$$ away from the wall The length of the ladder is

The angle of elevation of the top of a tower from a certain point is $$\displaystyle 30^{0}$$ If the observer moves 20m towards the tower the angle of elevation of the top of the tower increases by $$\displaystyle 15^{0}$$ The height of the tower is

A man on the top of a vertical observation tower observes a car moving at a uniform speed coming directly towards it If it takes $$12$$ minutes for the angle of depression to change from $$\displaystyle 30^{0}$$ to $$\displaystyle 45^{0}$$ how soon after this will the car reach the observation tower?

If the height of a pole is $$\displaystyle 2\sqrt{3}$$ metres and the length of its shadow is 2 metres then the angle of elevation of the sun is equal to

If a flag-staff 6 metres high placed on the top pf a tower throws a shadow of $$\displaystyle 2\sqrt{3}$$ metres along the ground then the angle that the sun makes with the ground is

If the angles of elevaton of the top of a tower from two points distance s and t $$\displaystyle \left ( s> t \right )$$ from its foot are $$\displaystyle 30^{0}$$ and $$\displaystyle 60^{0}$$ respectively then the height of the tower is

A man standing on the bank of the river observes that the angle subtended by a tree on the opposite bank is $$\displaystyle 60^{0}$$. When he retires $$36$$ metres from the bank he finds the angle to be $$\displaystyle 30^{0}$$. The breadth of the river is

A man on the top of a rock lying on a seashore observes a boat coming towards it. If it takes $$10$$ minutes for the angles of depression to change from $$\displaystyle 30^{\circ}$$ to $$\displaystyle 60^{\circ}$$ how soon will the boat reach the shore?

The angle of elevation of the top of an incomplete vertical pillar at a horizontal distance of $$100\ m$$ from its base is $$\displaystyle 45^{o}$$ If the angle of elevation of the top of the complete pillar at the same point is to be $$\displaystyle 60^{o}$$ then the height of the incomplete pillar is to be increased by

The length of the shadow of a person is x when the angle of elevation of the sun is $$\displaystyle 45^{0}$$. If the length of the shadow increased by $$\displaystyle \left ( \sqrt{3}-1 \right )x$$ then the angle of elevation becomes