A tower stands vertically on the ground. From a point on the ground, which is 48 m away from the foot of the tower, the angle of elevation of the top of the tower is 30^(@) . Find the height of the tower.

A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground by making 30^(@) angle with the ground. The distance between the foot of the tree and the top of the tree on the ground is om. Find the height of the tree before falling down.

A vertical pole fixed to the ground is divided in the ratio 1:9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 25 m away from the base of the pole, what is the height of the pole?

A vertical pole fixed to the ground is divided in the ratio 1:9 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a place on the ground, 25 m away from the base of the pole, what is the height of the pole?

An emu which is 8 ft tall standing at the foot of a pillar which is 30 ft height. It walks away from the pillar. The shadow of the emu falls beyond emu. What is the relation between the length of the shadow and the distance from the emu to the pillar ?

A girl looks the reflection of the top of the lamp post on the mirror which is 87.6 m away from the foot of the lamppost. The girl whose height is 1.5 m is standing 0.4 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamppost are in a same line, find the height of the lamp post.

A girl looks the reflection of the top of the lamp post on the mirror which is 6.6 m away from the foot of the lamppost. The girl whose height is 1.25 m is standing 2.5 m away from the mirror. Assuming the mirror is placed on the ground facing the sky and the girl, mirror and the lamppost are in a same line, find the height of the lamp post ?

A motorcycle has to move with a consatnt speed on an overbridge which is in the form of as circular arc of radius R and has a total length L. Suppose the motorcycle starts from the highest point. a) what can its maximum velocity be for which the contact with the road is not broken at the highest point? b) If the motorcycle goes at speed 1/sqrt2 times the maximum found in part a. where will it lose the contact with the road? c) What maximum uniform speed can it maintain on the bridge if it does not lose contact anywhere on the bridge?

A metal rod of length l cuts across a unifrom magnetic field B with a velocity v. If the resistance of the circuit of which the rod forms a part is r, then the force required to move the rod is

Inner part of a cupboard is in the cuboidical shape with its length, breadth and height in the ratio 1: sqrt2: 1 . What is the angle made by the longest stick which can be inserted cupboard with its base inside.